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Finding the Fourth Proportional to 10,418, 15,632.60 and 6,044.08

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Solution

The fourth proportional to 10,418, 15,632.60 and 6,044.08 is: 9,069.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418 : 15,632.60 = 6,044.08 : x
  2. Step 2: Convert to fraction form
    10,418/15,632.60 = 6,044.08/x
  3. Step 3: Cross multiply
    10,418x = 15,632.60 × 6,044.08
  4. Step 4: Simplify right side
    10,418x = 94,484,685.01
  5. Step 5: Solve for x
    x = 94,484,685.01/10,418
  6. Step 6: Final answer
    x = 9,069.37

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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.