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Finding the Fourth Proportional to 9,624.64, 14,416.72 and 6,112.88

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Solution

The fourth proportional to 9,624.64, 14,416.72 and 6,112.88 is: 9,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.64 : 14,416.72 = 6,112.88 : x
  2. Step 2: Convert to fraction form
    9,624.64/14,416.72 = 6,112.88/x
  3. Step 3: Cross multiply
    9,624.64x = 14,416.72 × 6,112.88
  4. Step 4: Simplify right side
    9,624.64x = 88,127,679.35
  5. Step 5: Solve for x
    x = 88,127,679.35/9,624.64
  6. Step 6: Final answer
    x = 9,156.47

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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.