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Finding the Fourth Proportional to 9,775.73, 14,663.45 and 2,380.20

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Solution

The fourth proportional to 9,775.73, 14,663.45 and 2,380.20 is: 3,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.73 : 14,663.45 = 2,380.20 : x
  2. Step 2: Convert to fraction form
    9,775.73/14,663.45 = 2,380.20/x
  3. Step 3: Cross multiply
    9,775.73x = 14,663.45 × 2,380.20
  4. Step 4: Simplify right side
    9,775.73x = 34,901,931.79
  5. Step 5: Solve for x
    x = 34,901,931.79/9,775.73
  6. Step 6: Final answer
    x = 3,570.27

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Double scale
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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.