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Finding the Fourth Proportional to 10,307.92, 14,224.92 and 5,592.22

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Solution

The fourth proportional to 10,307.92, 14,224.92 and 5,592.22 is: 7,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.92 : 14,224.92 = 5,592.22 : x
  2. Step 2: Convert to fraction form
    10,307.92/14,224.92 = 5,592.22/x
  3. Step 3: Cross multiply
    10,307.92x = 14,224.92 × 5,592.22
  4. Step 4: Simplify right side
    10,307.92x = 79,548,882.12
  5. Step 5: Solve for x
    x = 79,548,882.12/10,307.92
  6. Step 6: Final answer
    x = 7,717.26

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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.