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Finding the Fourth Proportional to 15,471, 23,210.34 and 4,527

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Solution

The fourth proportional to 15,471, 23,210.34 and 4,527 is: 6,791.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471 : 23,210.34 = 4,527 : x
  2. Step 2: Convert to fraction form
    15,471/23,210.34 = 4,527/x
  3. Step 3: Cross multiply
    15,471x = 23,210.34 × 4,527
  4. Step 4: Simplify right side
    15,471x = 105,073,209.18
  5. Step 5: Solve for x
    x = 105,073,209.18/15,471
  6. Step 6: Final answer
    x = 6,791.62

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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.