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Finding the Fourth Proportional to 9,242.88, 13,870.80 and 5,341.92

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Solution

The fourth proportional to 9,242.88, 13,870.80 and 5,341.92 is: 8,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.88 : 13,870.80 = 5,341.92 : x
  2. Step 2: Convert to fraction form
    9,242.88/13,870.80 = 5,341.92/x
  3. Step 3: Cross multiply
    9,242.88x = 13,870.80 × 5,341.92
  4. Step 4: Simplify right side
    9,242.88x = 74,096,703.94
  5. Step 5: Solve for x
    x = 74,096,703.94/9,242.88
  6. Step 6: Final answer
    x = 8,016.63

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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.