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Finding the Fourth Proportional to 9,765.76, 14,648.40 and 2,746.24

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Solution

The fourth proportional to 9,765.76, 14,648.40 and 2,746.24 is: 4,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.76 : 14,648.40 = 2,746.24 : x
  2. Step 2: Convert to fraction form
    9,765.76/14,648.40 = 2,746.24/x
  3. Step 3: Cross multiply
    9,765.76x = 14,648.40 × 2,746.24
  4. Step 4: Simplify right side
    9,765.76x = 40,228,022.02
  5. Step 5: Solve for x
    x = 40,228,022.02/9,765.76
  6. Step 6: Final answer
    x = 4,119.29

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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.