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Finding the Fourth Proportional to 8,977.65, 12,387.71 and 5,201.16

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Solution

The fourth proportional to 8,977.65, 12,387.71 and 5,201.16 is: 7,176.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.65 : 12,387.71 = 5,201.16 : x
  2. Step 2: Convert to fraction form
    8,977.65/12,387.71 = 5,201.16/x
  3. Step 3: Cross multiply
    8,977.65x = 12,387.71 × 5,201.16
  4. Step 4: Simplify right side
    8,977.65x = 64,430,435.74
  5. Step 5: Solve for x
    x = 64,430,435.74/8,977.65
  6. Step 6: Final answer
    x = 7,176.76

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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.