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Finding the Fourth Proportional to 9,765.80, 14,648.70 and 2,370.20

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Solution

The fourth proportional to 9,765.80, 14,648.70 and 2,370.20 is: 3,555.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.80 : 14,648.70 = 2,370.20 : x
  2. Step 2: Convert to fraction form
    9,765.80/14,648.70 = 2,370.20/x
  3. Step 3: Cross multiply
    9,765.80x = 14,648.70 × 2,370.20
  4. Step 4: Simplify right side
    9,765.80x = 34,720,275.50
  5. Step 5: Solve for x
    x = 34,720,275.50/9,765.80
  6. Step 6: Final answer
    x = 3,555.29

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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.