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Finding the Fourth Proportional to 8,647.25, 12,972.50 and 4,030.25

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Solution

The fourth proportional to 8,647.25, 12,972.50 and 4,030.25 is: 6,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.25 : 12,972.50 = 4,030.25 : x
  2. Step 2: Convert to fraction form
    8,647.25/12,972.50 = 4,030.25/x
  3. Step 3: Cross multiply
    8,647.25x = 12,972.50 × 4,030.25
  4. Step 4: Simplify right side
    8,647.25x = 52,282,397.97
  5. Step 5: Solve for x
    x = 52,282,397.97/8,647.25
  6. Step 6: Final answer
    x = 6,046.13

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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.