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Finding the Fourth Proportional to 8,298.54, 11,463.17 and 7,708.05

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Solution

The fourth proportional to 8,298.54, 11,463.17 and 7,708.05 is: 10,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.54 : 11,463.17 = 7,708.05 : x
  2. Step 2: Convert to fraction form
    8,298.54/11,463.17 = 7,708.05/x
  3. Step 3: Cross multiply
    8,298.54x = 11,463.17 × 7,708.05
  4. Step 4: Simplify right side
    8,298.54x = 88,358,648.98
  5. Step 5: Solve for x
    x = 88,358,648.98/8,298.54
  6. Step 6: Final answer
    x = 10,647.49

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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.