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Finding the Fourth Proportional to 7,646.40, 11,473.92 and 7,067.52

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Solution

The fourth proportional to 7,646.40, 11,473.92 and 7,067.52 is: 10,605.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.40 : 11,473.92 = 7,067.52 : x
  2. Step 2: Convert to fraction form
    7,646.40/11,473.92 = 7,067.52/x
  3. Step 3: Cross multiply
    7,646.40x = 11,473.92 × 7,067.52
  4. Step 4: Simplify right side
    7,646.40x = 81,092,159.08
  5. Step 5: Solve for x
    x = 81,092,159.08/7,646.40
  6. Step 6: Final answer
    x = 10,605.27

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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.