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Finding the Fourth Proportional to 9,681.72, 13,359.18 and 6,096.12

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Solution

The fourth proportional to 9,681.72, 13,359.18 and 6,096.12 is: 8,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.72 : 13,359.18 = 6,096.12 : x
  2. Step 2: Convert to fraction form
    9,681.72/13,359.18 = 6,096.12/x
  3. Step 3: Cross multiply
    9,681.72x = 13,359.18 × 6,096.12
  4. Step 4: Simplify right side
    9,681.72x = 81,439,164.38
  5. Step 5: Solve for x
    x = 81,439,164.38/9,681.72
  6. Step 6: Final answer
    x = 8,411.64

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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.