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Finding the Fourth Proportional to 9,167.50, 12,651.65 and 5,809.15

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Solution

The fourth proportional to 9,167.50, 12,651.65 and 5,809.15 is: 8,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.50 : 12,651.65 = 5,809.15 : x
  2. Step 2: Convert to fraction form
    9,167.50/12,651.65 = 5,809.15/x
  3. Step 3: Cross multiply
    9,167.50x = 12,651.65 × 5,809.15
  4. Step 4: Simplify right side
    9,167.50x = 73,495,332.60
  5. Step 5: Solve for x
    x = 73,495,332.60/9,167.50
  6. Step 6: Final answer
    x = 8,016.94

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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.