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Finding the Fourth Proportional to 9,363.70, 12,924.06 and 6,177.57

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Solution

The fourth proportional to 9,363.70, 12,924.06 and 6,177.57 is: 8,526.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.70 : 12,924.06 = 6,177.57 : x
  2. Step 2: Convert to fraction form
    9,363.70/12,924.06 = 6,177.57/x
  3. Step 3: Cross multiply
    9,363.70x = 12,924.06 × 6,177.57
  4. Step 4: Simplify right side
    9,363.70x = 79,839,213.70
  5. Step 5: Solve for x
    x = 79,839,213.70/9,363.70
  6. Step 6: Final answer
    x = 8,526.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.