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Finding the Fourth Proportional to 9,524.55, 14,296.04 and 4,597.65

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Solution

The fourth proportional to 9,524.55, 14,296.04 and 4,597.65 is: 6,900.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.55 : 14,296.04 = 4,597.65 : x
  2. Step 2: Convert to fraction form
    9,524.55/14,296.04 = 4,597.65/x
  3. Step 3: Cross multiply
    9,524.55x = 14,296.04 × 4,597.65
  4. Step 4: Simplify right side
    9,524.55x = 65,728,165.32
  5. Step 5: Solve for x
    x = 65,728,165.32/9,524.55
  6. Step 6: Final answer
    x = 6,900.92

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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.