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Finding the Fourth Proportional to 9,597.42, 13,234.08 and 6,011.10

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Solution

The fourth proportional to 9,597.42, 13,234.08 and 6,011.10 is: 8,288.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.42 : 13,234.08 = 6,011.10 : x
  2. Step 2: Convert to fraction form
    9,597.42/13,234.08 = 6,011.10/x
  3. Step 3: Cross multiply
    9,597.42x = 13,234.08 × 6,011.10
  4. Step 4: Simplify right side
    9,597.42x = 79,551,378.29
  5. Step 5: Solve for x
    x = 79,551,378.29/9,597.42
  6. Step 6: Final answer
    x = 8,288.83

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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.