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Finding the Fourth Proportional to 7,827.59, 11,737.93 and 5,627.13

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Solution

The fourth proportional to 7,827.59, 11,737.93 and 5,627.13 is: 8,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.59 : 11,737.93 = 5,627.13 : x
  2. Step 2: Convert to fraction form
    7,827.59/11,737.93 = 5,627.13/x
  3. Step 3: Cross multiply
    7,827.59x = 11,737.93 × 5,627.13
  4. Step 4: Simplify right side
    7,827.59x = 66,050,858.04
  5. Step 5: Solve for x
    x = 66,050,858.04/7,827.59
  6. Step 6: Final answer
    x = 8,438.21

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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.