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Finding the Fourth Proportional to 7,585.80, 11,381.40 and 7,315.80

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Solution

The fourth proportional to 7,585.80, 11,381.40 and 7,315.80 is: 10,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.80 : 11,381.40 = 7,315.80 : x
  2. Step 2: Convert to fraction form
    7,585.80/11,381.40 = 7,315.80/x
  3. Step 3: Cross multiply
    7,585.80x = 11,381.40 × 7,315.80
  4. Step 4: Simplify right side
    7,585.80x = 83,264,046.12
  5. Step 5: Solve for x
    x = 83,264,046.12/7,585.80
  6. Step 6: Final answer
    x = 10,976.30

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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.