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Finding the Fourth Proportional to 9,765.81, 14,648.85 and 3,530.31

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Solution

The fourth proportional to 9,765.81, 14,648.85 and 3,530.31 is: 5,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.81 : 14,648.85 = 3,530.31 : x
  2. Step 2: Convert to fraction form
    9,765.81/14,648.85 = 3,530.31/x
  3. Step 3: Cross multiply
    9,765.81x = 14,648.85 × 3,530.31
  4. Step 4: Simplify right side
    9,765.81x = 51,714,981.64
  5. Step 5: Solve for x
    x = 51,714,981.64/9,765.81
  6. Step 6: Final answer
    x = 5,295.51

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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.