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Finding the Fourth Proportional to 9,964.13, 13,650.92 and 9,590.45

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Solution

The fourth proportional to 9,964.13, 13,650.92 and 9,590.45 is: 13,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.13 : 13,650.92 = 9,590.45 : x
  2. Step 2: Convert to fraction form
    9,964.13/13,650.92 = 9,590.45/x
  3. Step 3: Cross multiply
    9,964.13x = 13,650.92 × 9,590.45
  4. Step 4: Simplify right side
    9,964.13x = 130,918,465.71
  5. Step 5: Solve for x
    x = 130,918,465.71/9,964.13
  6. Step 6: Final answer
    x = 13,138.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.