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Finding the Fourth Proportional to 9,294.39, 13,931.05 and 4,617.65

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Solution

The fourth proportional to 9,294.39, 13,931.05 and 4,617.65 is: 6,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.39 : 13,931.05 = 4,617.65 : x
  2. Step 2: Convert to fraction form
    9,294.39/13,931.05 = 4,617.65/x
  3. Step 3: Cross multiply
    9,294.39x = 13,931.05 × 4,617.65
  4. Step 4: Simplify right side
    9,294.39x = 64,328,713.03
  5. Step 5: Solve for x
    x = 64,328,713.03/9,294.39
  6. Step 6: Final answer
    x = 6,921.24

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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.