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Finding the Fourth Proportional to 9,656.75, 13,325.22 and 5,407.22

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Solution

The fourth proportional to 9,656.75, 13,325.22 and 5,407.22 is: 7,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.75 : 13,325.22 = 5,407.22 : x
  2. Step 2: Convert to fraction form
    9,656.75/13,325.22 = 5,407.22/x
  3. Step 3: Cross multiply
    9,656.75x = 13,325.22 × 5,407.22
  4. Step 4: Simplify right side
    9,656.75x = 72,052,414.19
  5. Step 5: Solve for x
    x = 72,052,414.19/9,656.75
  6. Step 6: Final answer
    x = 7,461.35

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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.