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Finding the Fourth Proportional to 9,562.77, 13,203 and 5,983.16

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Solution

The fourth proportional to 9,562.77, 13,203 and 5,983.16 is: 8,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.77 : 13,203 = 5,983.16 : x
  2. Step 2: Convert to fraction form
    9,562.77/13,203 = 5,983.16/x
  3. Step 3: Cross multiply
    9,562.77x = 13,203 × 5,983.16
  4. Step 4: Simplify right side
    9,562.77x = 78,995,595.47
  5. Step 5: Solve for x
    x = 78,995,595.47/9,562.77
  6. Step 6: Final answer
    x = 8,260.74

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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.