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Finding the Fourth Proportional to 9,806.52, 14,706.10 and 3,565

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Solution

The fourth proportional to 9,806.52, 14,706.10 and 3,565 is: 5,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.52 : 14,706.10 = 3,565 : x
  2. Step 2: Convert to fraction form
    9,806.52/14,706.10 = 3,565/x
  3. Step 3: Cross multiply
    9,806.52x = 14,706.10 × 3,565
  4. Step 4: Simplify right side
    9,806.52x = 52,427,246.50
  5. Step 5: Solve for x
    x = 52,427,246.50/9,806.52
  6. Step 6: Final answer
    x = 5,346.16

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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.