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Finding the Fourth Proportional to 12,614.01, 17,406.57 and 7,307.91

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Solution

The fourth proportional to 12,614.01, 17,406.57 and 7,307.91 is: 10,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.01 : 17,406.57 = 7,307.91 : x
  2. Step 2: Convert to fraction form
    12,614.01/17,406.57 = 7,307.91/x
  3. Step 3: Cross multiply
    12,614.01x = 17,406.57 × 7,307.91
  4. Step 4: Simplify right side
    12,614.01x = 127,205,646.97
  5. Step 5: Solve for x
    x = 127,205,646.97/12,614.01
  6. Step 6: Final answer
    x = 10,084.47

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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.