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Finding the Fourth Proportional to 30,434.88, 45,656.64 and 9,660.16

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Solution

The fourth proportional to 30,434.88, 45,656.64 and 9,660.16 is: 14,491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.88 : 45,656.64 = 9,660.16 : x
  2. Step 2: Convert to fraction form
    30,434.88/45,656.64 = 9,660.16/x
  3. Step 3: Cross multiply
    30,434.88x = 45,656.64 × 9,660.16
  4. Step 4: Simplify right side
    30,434.88x = 441,050,447.46
  5. Step 5: Solve for x
    x = 441,050,447.46/30,434.88
  6. Step 6: Final answer
    x = 14,491.61

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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.