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Finding the Fourth Proportional to 9,307.73, 12,807.14 and 9,086.30

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Solution

The fourth proportional to 9,307.73, 12,807.14 and 9,086.30 is: 12,502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.73 : 12,807.14 = 9,086.30 : x
  2. Step 2: Convert to fraction form
    9,307.73/12,807.14 = 9,086.30/x
  3. Step 3: Cross multiply
    9,307.73x = 12,807.14 × 9,086.30
  4. Step 4: Simplify right side
    9,307.73x = 116,369,516.18
  5. Step 5: Solve for x
    x = 116,369,516.18/9,307.73
  6. Step 6: Final answer
    x = 12,502.46

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.