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Finding the Fourth Proportional to 10,417.95, 15,630.53 and 4,573.71

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Solution

The fourth proportional to 10,417.95, 15,630.53 and 4,573.71 is: 6,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.95 : 15,630.53 = 4,573.71 : x
  2. Step 2: Convert to fraction form
    10,417.95/15,630.53 = 4,573.71/x
  3. Step 3: Cross multiply
    10,417.95x = 15,630.53 × 4,573.71
  4. Step 4: Simplify right side
    10,417.95x = 71,489,488.50
  5. Step 5: Solve for x
    x = 71,489,488.50/10,417.95
  6. Step 6: Final answer
    x = 6,862.15

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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.