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Finding the Fourth Proportional to 9,101.94, 12,560.62 and 5,123.11

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Solution

The fourth proportional to 9,101.94, 12,560.62 and 5,123.11 is: 7,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.94 : 12,560.62 = 5,123.11 : x
  2. Step 2: Convert to fraction form
    9,101.94/12,560.62 = 5,123.11/x
  3. Step 3: Cross multiply
    9,101.94x = 12,560.62 × 5,123.11
  4. Step 4: Simplify right side
    9,101.94x = 64,349,437.93
  5. Step 5: Solve for x
    x = 64,349,437.93/9,101.94
  6. Step 6: Final answer
    x = 7,069.86

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Half scale
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Double scale
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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.