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Finding the Fourth Proportional to 10,966.70, 16,454.10 and 4,397.60

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Solution

The fourth proportional to 10,966.70, 16,454.10 and 4,397.60 is: 6,598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.70 : 16,454.10 = 4,397.60 : x
  2. Step 2: Convert to fraction form
    10,966.70/16,454.10 = 4,397.60/x
  3. Step 3: Cross multiply
    10,966.70x = 16,454.10 × 4,397.60
  4. Step 4: Simplify right side
    10,966.70x = 72,358,550.16
  5. Step 5: Solve for x
    x = 72,358,550.16/10,966.70
  6. Step 6: Final answer
    x = 6,598.02

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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.