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Finding the Fourth Proportional to 7,704.52, 10,632.24 and 4,167.74

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Solution

The fourth proportional to 7,704.52, 10,632.24 and 4,167.74 is: 5,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.52 : 10,632.24 = 4,167.74 : x
  2. Step 2: Convert to fraction form
    7,704.52/10,632.24 = 4,167.74/x
  3. Step 3: Cross multiply
    7,704.52x = 10,632.24 × 4,167.74
  4. Step 4: Simplify right side
    7,704.52x = 44,312,358.78
  5. Step 5: Solve for x
    x = 44,312,358.78/7,704.52
  6. Step 6: Final answer
    x = 5,751.47

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.