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Finding the Fourth Proportional to 9,370.56, 12,931.56 and 5,178.96

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Solution

The fourth proportional to 9,370.56, 12,931.56 and 5,178.96 is: 7,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370.56 : 12,931.56 = 5,178.96 : x
  2. Step 2: Convert to fraction form
    9,370.56/12,931.56 = 5,178.96/x
  3. Step 3: Cross multiply
    9,370.56x = 12,931.56 × 5,178.96
  4. Step 4: Simplify right side
    9,370.56x = 66,972,031.98
  5. Step 5: Solve for x
    x = 66,972,031.98/9,370.56
  6. Step 6: Final answer
    x = 7,147.07

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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.