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Finding the Fourth Proportional to 9,461.85, 13,061.35 and 6,738.12

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Solution

The fourth proportional to 9,461.85, 13,061.35 and 6,738.12 is: 9,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.85 : 13,061.35 = 6,738.12 : x
  2. Step 2: Convert to fraction form
    9,461.85/13,061.35 = 6,738.12/x
  3. Step 3: Cross multiply
    9,461.85x = 13,061.35 × 6,738.12
  4. Step 4: Simplify right side
    9,461.85x = 88,008,952.08
  5. Step 5: Solve for x
    x = 88,008,952.08/9,461.85
  6. Step 6: Final answer
    x = 9,301.46

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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.