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Finding the Fourth Proportional to 27,099.20, 40,648.80 and 9,570.80

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Solution

The fourth proportional to 27,099.20, 40,648.80 and 9,570.80 is: 14,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,099.20 : 40,648.80 = 9,570.80 : x
  2. Step 2: Convert to fraction form
    27,099.20/40,648.80 = 9,570.80/x
  3. Step 3: Cross multiply
    27,099.20x = 40,648.80 × 9,570.80
  4. Step 4: Simplify right side
    27,099.20x = 389,041,535.04
  5. Step 5: Solve for x
    x = 389,041,535.04/27,099.20
  6. Step 6: Final answer
    x = 14,356.20

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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.