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Finding the Fourth Proportional to 9,597.42, 14,377.77 and 8,474.22

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Solution

The fourth proportional to 9,597.42, 14,377.77 and 8,474.22 is: 12,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.42 : 14,377.77 = 8,474.22 : x
  2. Step 2: Convert to fraction form
    9,597.42/14,377.77 = 8,474.22/x
  3. Step 3: Cross multiply
    9,597.42x = 14,377.77 × 8,474.22
  4. Step 4: Simplify right side
    9,597.42x = 121,840,386.09
  5. Step 5: Solve for x
    x = 121,840,386.09/9,597.42
  6. Step 6: Final answer
    x = 12,695.12

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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.