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Finding the Fourth Proportional to 15,047.76, 20,766.24 and 9,751.80

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Solution

The fourth proportional to 15,047.76, 20,766.24 and 9,751.80 is: 13,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,047.76 : 20,766.24 = 9,751.80 : x
  2. Step 2: Convert to fraction form
    15,047.76/20,766.24 = 9,751.80/x
  3. Step 3: Cross multiply
    15,047.76x = 20,766.24 × 9,751.80
  4. Step 4: Simplify right side
    15,047.76x = 202,508,219.23
  5. Step 5: Solve for x
    x = 202,508,219.23/15,047.76
  6. Step 6: Final answer
    x = 13,457.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.