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Finding the Fourth Proportional to 7,002.85, 9,665.58 and 4,352.26

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Solution

The fourth proportional to 7,002.85, 9,665.58 and 4,352.26 is: 6,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.85 : 9,665.58 = 4,352.26 : x
  2. Step 2: Convert to fraction form
    7,002.85/9,665.58 = 4,352.26/x
  3. Step 3: Cross multiply
    7,002.85x = 9,665.58 × 4,352.26
  4. Step 4: Simplify right side
    7,002.85x = 42,067,117.21
  5. Step 5: Solve for x
    x = 42,067,117.21/7,002.85
  6. Step 6: Final answer
    x = 6,007.14

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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.