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Finding the Fourth Proportional to 10,566.65, 15,854.03 and 6,409.63

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Solution

The fourth proportional to 10,566.65, 15,854.03 and 6,409.63 is: 9,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.65 : 15,854.03 = 6,409.63 : x
  2. Step 2: Convert to fraction form
    10,566.65/15,854.03 = 6,409.63/x
  3. Step 3: Cross multiply
    10,566.65x = 15,854.03 × 6,409.63
  4. Step 4: Simplify right side
    10,566.65x = 101,618,478.11
  5. Step 5: Solve for x
    x = 101,618,478.11/10,566.65
  6. Step 6: Final answer
    x = 9,616.90

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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.