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Finding the Fourth Proportional to 15,948.16, 22,009.32 and 8,874.74

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Solution

The fourth proportional to 15,948.16, 22,009.32 and 8,874.74 is: 12,247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,948.16 : 22,009.32 = 8,874.74 : x
  2. Step 2: Convert to fraction form
    15,948.16/22,009.32 = 8,874.74/x
  3. Step 3: Cross multiply
    15,948.16x = 22,009.32 × 8,874.74
  4. Step 4: Simplify right side
    15,948.16x = 195,327,047.60
  5. Step 5: Solve for x
    x = 195,327,047.60/15,948.16
  6. Step 6: Final answer
    x = 12,247.62

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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.