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Finding the Fourth Proportional to 9,544, 14,299.32 and 6,624.16

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Solution

The fourth proportional to 9,544, 14,299.32 and 6,624.16 is: 9,924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544 : 14,299.32 = 6,624.16 : x
  2. Step 2: Convert to fraction form
    9,544/14,299.32 = 6,624.16/x
  3. Step 3: Cross multiply
    9,544x = 14,299.32 × 6,624.16
  4. Step 4: Simplify right side
    9,544x = 94,720,983.57
  5. Step 5: Solve for x
    x = 94,720,983.57/9,544
  6. Step 6: Final answer
    x = 9,924.66

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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.