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Finding the Fourth Proportional to 9,952.60, 14,934.12 and 4,409.77

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Solution

The fourth proportional to 9,952.60, 14,934.12 and 4,409.77 is: 6,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.60 : 14,934.12 = 4,409.77 : x
  2. Step 2: Convert to fraction form
    9,952.60/14,934.12 = 4,409.77/x
  3. Step 3: Cross multiply
    9,952.60x = 14,934.12 × 4,409.77
  4. Step 4: Simplify right side
    9,952.60x = 65,856,034.35
  5. Step 5: Solve for x
    x = 65,856,034.35/9,952.60
  6. Step 6: Final answer
    x = 6,616.97

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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.