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Finding the Fourth Proportional to 9,750.98, 14,601.54 and 5,363.62

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Solution

The fourth proportional to 9,750.98, 14,601.54 and 5,363.62 is: 8,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.98 : 14,601.54 = 5,363.62 : x
  2. Step 2: Convert to fraction form
    9,750.98/14,601.54 = 5,363.62/x
  3. Step 3: Cross multiply
    9,750.98x = 14,601.54 × 5,363.62
  4. Step 4: Simplify right side
    9,750.98x = 78,317,111.97
  5. Step 5: Solve for x
    x = 78,317,111.97/9,750.98
  6. Step 6: Final answer
    x = 8,031.72

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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.