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Finding the Fourth Proportional to 8,854.44, 13,280.54 and 4,470

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Solution

The fourth proportional to 8,854.44, 13,280.54 and 4,470 is: 6,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,854.44 : 13,280.54 = 4,470 : x
  2. Step 2: Convert to fraction form
    8,854.44/13,280.54 = 4,470/x
  3. Step 3: Cross multiply
    8,854.44x = 13,280.54 × 4,470
  4. Step 4: Simplify right side
    8,854.44x = 59,363,991.45
  5. Step 5: Solve for x
    x = 59,363,991.45/8,854.44
  6. Step 6: Final answer
    x = 6,704.43

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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.