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Finding the Fourth Proportional to 9,666.64, 14,497.69 and 5,451.71

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Solution

The fourth proportional to 9,666.64, 14,497.69 and 5,451.71 is: 8,176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.64 : 14,497.69 = 5,451.71 : x
  2. Step 2: Convert to fraction form
    9,666.64/14,497.69 = 5,451.71/x
  3. Step 3: Cross multiply
    9,666.64x = 14,497.69 × 5,451.71
  4. Step 4: Simplify right side
    9,666.64x = 79,037,101.80
  5. Step 5: Solve for x
    x = 79,037,101.80/9,666.64
  6. Step 6: Final answer
    x = 8,176.28

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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.