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Finding the Fourth Proportional to 11,468.52, 15,829.38 and 6,994.74

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Solution

The fourth proportional to 11,468.52, 15,829.38 and 6,994.74 is: 9,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.52 : 15,829.38 = 6,994.74 : x
  2. Step 2: Convert to fraction form
    11,468.52/15,829.38 = 6,994.74/x
  3. Step 3: Cross multiply
    11,468.52x = 15,829.38 × 6,994.74
  4. Step 4: Simplify right side
    11,468.52x = 110,722,397.46
  5. Step 5: Solve for x
    x = 110,722,397.46/11,468.52
  6. Step 6: Final answer
    x = 9,654.46

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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.