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Finding the Fourth Proportional to 9,701.80, 14,552.70 and 5,765.20

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Solution

The fourth proportional to 9,701.80, 14,552.70 and 5,765.20 is: 8,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.80 : 14,552.70 = 5,765.20 : x
  2. Step 2: Convert to fraction form
    9,701.80/14,552.70 = 5,765.20/x
  3. Step 3: Cross multiply
    9,701.80x = 14,552.70 × 5,765.20
  4. Step 4: Simplify right side
    9,701.80x = 83,899,226.04
  5. Step 5: Solve for x
    x = 83,899,226.04/9,701.80
  6. Step 6: Final answer
    x = 8,647.80

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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.