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Finding the Fourth Proportional to 8,566.47, 12,849.66 and 4,407.66

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Solution

The fourth proportional to 8,566.47, 12,849.66 and 4,407.66 is: 6,611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.47 : 12,849.66 = 4,407.66 : x
  2. Step 2: Convert to fraction form
    8,566.47/12,849.66 = 4,407.66/x
  3. Step 3: Cross multiply
    8,566.47x = 12,849.66 × 4,407.66
  4. Step 4: Simplify right side
    8,566.47x = 56,636,932.40
  5. Step 5: Solve for x
    x = 56,636,932.40/8,566.47
  6. Step 6: Final answer
    x = 6,611.47

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1.5x scale

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.