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Finding the Fourth Proportional to 15,078.25, 22,642.89 and 9,822.16

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Solution

The fourth proportional to 15,078.25, 22,642.89 and 9,822.16 is: 14,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.25 : 22,642.89 = 9,822.16 : x
  2. Step 2: Convert to fraction form
    15,078.25/22,642.89 = 9,822.16/x
  3. Step 3: Cross multiply
    15,078.25x = 22,642.89 × 9,822.16
  4. Step 4: Simplify right side
    15,078.25x = 222,402,088.44
  5. Step 5: Solve for x
    x = 222,402,088.44/15,078.25
  6. Step 6: Final answer
    x = 14,749.86

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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.