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Finding the Fourth Proportional to 15,707, 23,571.30 and 6,473

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Solution

The fourth proportional to 15,707, 23,571.30 and 6,473 is: 9,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707 : 23,571.30 = 6,473 : x
  2. Step 2: Convert to fraction form
    15,707/23,571.30 = 6,473/x
  3. Step 3: Cross multiply
    15,707x = 23,571.30 × 6,473
  4. Step 4: Simplify right side
    15,707x = 152,577,024.90
  5. Step 5: Solve for x
    x = 152,577,024.90/15,707
  6. Step 6: Final answer
    x = 9,713.95

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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.