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Finding the Fourth Proportional to 10,588.90, 15,884.02 and 2,797.50

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Solution

The fourth proportional to 10,588.90, 15,884.02 and 2,797.50 is: 4,196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.90 : 15,884.02 = 2,797.50 : x
  2. Step 2: Convert to fraction form
    10,588.90/15,884.02 = 2,797.50/x
  3. Step 3: Cross multiply
    10,588.90x = 15,884.02 × 2,797.50
  4. Step 4: Simplify right side
    10,588.90x = 44,435,545.95
  5. Step 5: Solve for x
    x = 44,435,545.95/10,588.90
  6. Step 6: Final answer
    x = 4,196.43

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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.