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Finding the Fourth Proportional to 9,493.65, 13,101.21 and 5,301.90

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Solution

The fourth proportional to 9,493.65, 13,101.21 and 5,301.90 is: 7,316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.65 : 13,101.21 = 5,301.90 : x
  2. Step 2: Convert to fraction form
    9,493.65/13,101.21 = 5,301.90/x
  3. Step 3: Cross multiply
    9,493.65x = 13,101.21 × 5,301.90
  4. Step 4: Simplify right side
    9,493.65x = 69,461,305.30
  5. Step 5: Solve for x
    x = 69,461,305.30/9,493.65
  6. Step 6: Final answer
    x = 7,316.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.