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Finding the Fourth Proportional to 7,007.68, 9,669.72 and 4,023.10

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Solution

The fourth proportional to 7,007.68, 9,669.72 and 4,023.10 is: 5,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.68 : 9,669.72 = 4,023.10 : x
  2. Step 2: Convert to fraction form
    7,007.68/9,669.72 = 4,023.10/x
  3. Step 3: Cross multiply
    7,007.68x = 9,669.72 × 4,023.10
  4. Step 4: Simplify right side
    7,007.68x = 38,902,250.53
  5. Step 5: Solve for x
    x = 38,902,250.53/7,007.68
  6. Step 6: Final answer
    x = 5,551.37

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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.