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Finding the Fourth Proportional to 9,890.80, 14,820.55 and 8,032.91

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Solution

The fourth proportional to 9,890.80, 14,820.55 and 8,032.91 is: 12,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.80 : 14,820.55 = 8,032.91 : x
  2. Step 2: Convert to fraction form
    9,890.80/14,820.55 = 8,032.91/x
  3. Step 3: Cross multiply
    9,890.80x = 14,820.55 × 8,032.91
  4. Step 4: Simplify right side
    9,890.80x = 119,052,144.30
  5. Step 5: Solve for x
    x = 119,052,144.30/9,890.80
  6. Step 6: Final answer
    x = 12,036.65

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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.