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Finding the Fourth Proportional to 9,167.50, 12,650.88 and 4,975.75

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Solution

The fourth proportional to 9,167.50, 12,650.88 and 4,975.75 is: 6,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.50 : 12,650.88 = 4,975.75 : x
  2. Step 2: Convert to fraction form
    9,167.50/12,650.88 = 4,975.75/x
  3. Step 3: Cross multiply
    9,167.50x = 12,650.88 × 4,975.75
  4. Step 4: Simplify right side
    9,167.50x = 62,947,616.16
  5. Step 5: Solve for x
    x = 62,947,616.16/9,167.50
  6. Step 6: Final answer
    x = 6,866.39

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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.