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Finding the Fourth Proportional to 26,281.40, 39,432.90 and 9,649.40

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Solution

The fourth proportional to 26,281.40, 39,432.90 and 9,649.40 is: 14,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,281.40 : 39,432.90 = 9,649.40 : x
  2. Step 2: Convert to fraction form
    26,281.40/39,432.90 = 9,649.40/x
  3. Step 3: Cross multiply
    26,281.40x = 39,432.90 × 9,649.40
  4. Step 4: Simplify right side
    26,281.40x = 380,503,825.26
  5. Step 5: Solve for x
    x = 380,503,825.26/26,281.40
  6. Step 6: Final answer
    x = 14,478.07

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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.