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Finding the Fourth Proportional to 10,602.16, 15,882.02 and 6,383.07

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Solution

The fourth proportional to 10,602.16, 15,882.02 and 6,383.07 is: 9,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.16 : 15,882.02 = 6,383.07 : x
  2. Step 2: Convert to fraction form
    10,602.16/15,882.02 = 6,383.07/x
  3. Step 3: Cross multiply
    10,602.16x = 15,882.02 × 6,383.07
  4. Step 4: Simplify right side
    10,602.16x = 101,376,073.33
  5. Step 5: Solve for x
    x = 101,376,073.33/10,602.16
  6. Step 6: Final answer
    x = 9,561.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.