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Finding the Fourth Proportional to 25,999.71, 38,999.22 and 6,278.16

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Solution

The fourth proportional to 25,999.71, 38,999.22 and 6,278.16 is: 9,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,999.71 : 38,999.22 = 6,278.16 : x
  2. Step 2: Convert to fraction form
    25,999.71/38,999.22 = 6,278.16/x
  3. Step 3: Cross multiply
    25,999.71x = 38,999.22 × 6,278.16
  4. Step 4: Simplify right side
    25,999.71x = 244,843,343.04
  5. Step 5: Solve for x
    x = 244,843,343.04/25,999.71
  6. Step 6: Final answer
    x = 9,417.16

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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.