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Finding the Fourth Proportional to 4,668.60, 7,000.47 and 4,150.20

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Solution

The fourth proportional to 4,668.60, 7,000.47 and 4,150.20 is: 6,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.60 : 7,000.47 = 4,150.20 : x
  2. Step 2: Convert to fraction form
    4,668.60/7,000.47 = 4,150.20/x
  3. Step 3: Cross multiply
    4,668.60x = 7,000.47 × 4,150.20
  4. Step 4: Simplify right side
    4,668.60x = 29,053,350.59
  5. Step 5: Solve for x
    x = 29,053,350.59/4,668.60
  6. Step 6: Final answer
    x = 6,223.14

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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.