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Finding the Fourth Proportional to 10,473, 15,709.86 and 3,548.04

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Solution

The fourth proportional to 10,473, 15,709.86 and 3,548.04 is: 5,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473 : 15,709.86 = 3,548.04 : x
  2. Step 2: Convert to fraction form
    10,473/15,709.86 = 3,548.04/x
  3. Step 3: Cross multiply
    10,473x = 15,709.86 × 3,548.04
  4. Step 4: Simplify right side
    10,473x = 55,739,211.67
  5. Step 5: Solve for x
    x = 55,739,211.67/10,473
  6. Step 6: Final answer
    x = 5,322.18

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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.