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Finding the Fourth Proportional to 9,493.70, 13,101.29 and 5,301.95

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Solution

The fourth proportional to 9,493.70, 13,101.29 and 5,301.95 is: 7,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.70 : 13,101.29 = 5,301.95 : x
  2. Step 2: Convert to fraction form
    9,493.70/13,101.29 = 5,301.95/x
  3. Step 3: Cross multiply
    9,493.70x = 13,101.29 × 5,301.95
  4. Step 4: Simplify right side
    9,493.70x = 69,462,292.50
  5. Step 5: Solve for x
    x = 69,462,292.50/9,493.70
  6. Step 6: Final answer
    x = 7,316.68

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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.