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Finding the Fourth Proportional to 9,566.15, 13,201.19 and 5,317.22

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Solution

The fourth proportional to 9,566.15, 13,201.19 and 5,317.22 is: 7,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.15 : 13,201.19 = 5,317.22 : x
  2. Step 2: Convert to fraction form
    9,566.15/13,201.19 = 5,317.22/x
  3. Step 3: Cross multiply
    9,566.15x = 13,201.19 × 5,317.22
  4. Step 4: Simplify right side
    9,566.15x = 70,193,538.90
  5. Step 5: Solve for x
    x = 70,193,538.90/9,566.15
  6. Step 6: Final answer
    x = 7,337.70

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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.