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Finding the Fourth Proportional to 8,301.54, 11,456.12 and 4,575.54

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Solution

The fourth proportional to 8,301.54, 11,456.12 and 4,575.54 is: 6,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.54 : 11,456.12 = 4,575.54 : x
  2. Step 2: Convert to fraction form
    8,301.54/11,456.12 = 4,575.54/x
  3. Step 3: Cross multiply
    8,301.54x = 11,456.12 × 4,575.54
  4. Step 4: Simplify right side
    8,301.54x = 52,417,946.74
  5. Step 5: Solve for x
    x = 52,417,946.74/8,301.54
  6. Step 6: Final answer
    x = 6,314.24

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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.