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Finding the Fourth Proportional to 9,097.83, 13,649.00 and 7,230.76

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Solution

The fourth proportional to 9,097.83, 13,649.00 and 7,230.76 is: 10,847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.83 : 13,649.00 = 7,230.76 : x
  2. Step 2: Convert to fraction form
    9,097.83/13,649.00 = 7,230.76/x
  3. Step 3: Cross multiply
    9,097.83x = 13,649.00 × 7,230.76
  4. Step 4: Simplify right side
    9,097.83x = 98,692,631.69
  5. Step 5: Solve for x
    x = 98,692,631.69/9,097.83
  6. Step 6: Final answer
    x = 10,847.93

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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.