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Finding the Fourth Proportional to 36,098.84, 54,148.26 and 9,807.46

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Solution

The fourth proportional to 36,098.84, 54,148.26 and 9,807.46 is: 14,711.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,098.84 : 54,148.26 = 9,807.46 : x
  2. Step 2: Convert to fraction form
    36,098.84/54,148.26 = 9,807.46/x
  3. Step 3: Cross multiply
    36,098.84x = 54,148.26 × 9,807.46
  4. Step 4: Simplify right side
    36,098.84x = 531,056,894.02
  5. Step 5: Solve for x
    x = 531,056,894.02/36,098.84
  6. Step 6: Final answer
    x = 14,711.19

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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.