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Finding the Fourth Proportional to 9,314.65, 13,965.13 and 4,381.59

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Solution

The fourth proportional to 9,314.65, 13,965.13 and 4,381.59 is: 6,569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.65 : 13,965.13 = 4,381.59 : x
  2. Step 2: Convert to fraction form
    9,314.65/13,965.13 = 4,381.59/x
  3. Step 3: Cross multiply
    9,314.65x = 13,965.13 × 4,381.59
  4. Step 4: Simplify right side
    9,314.65x = 61,189,544.13
  5. Step 5: Solve for x
    x = 61,189,544.13/9,314.65
  6. Step 6: Final answer
    x = 6,569.18

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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.