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Finding the Fourth Proportional to 8,301, 11,456.10 and 4,575.72

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Solution

The fourth proportional to 8,301, 11,456.10 and 4,575.72 is: 6,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301 : 11,456.10 = 4,575.72 : x
  2. Step 2: Convert to fraction form
    8,301/11,456.10 = 4,575.72/x
  3. Step 3: Cross multiply
    8,301x = 11,456.10 × 4,575.72
  4. Step 4: Simplify right side
    8,301x = 52,419,905.89
  5. Step 5: Solve for x
    x = 52,419,905.89/8,301
  6. Step 6: Final answer
    x = 6,314.89

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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.