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Finding the Fourth Proportional to 15,260.16, 22,878.72 and 7,854.72

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Solution

The fourth proportional to 15,260.16, 22,878.72 and 7,854.72 is: 11,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,260.16 : 22,878.72 = 7,854.72 : x
  2. Step 2: Convert to fraction form
    15,260.16/22,878.72 = 7,854.72/x
  3. Step 3: Cross multiply
    15,260.16x = 22,878.72 × 7,854.72
  4. Step 4: Simplify right side
    15,260.16x = 179,705,939.56
  5. Step 5: Solve for x
    x = 179,705,939.56/15,260.16
  6. Step 6: Final answer
    x = 11,776.15

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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.