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Finding the Fourth Proportional to 8,176.80, 12,256.80 and 4,010.40

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Solution

The fourth proportional to 8,176.80, 12,256.80 and 4,010.40 is: 6,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.80 : 12,256.80 = 4,010.40 : x
  2. Step 2: Convert to fraction form
    8,176.80/12,256.80 = 4,010.40/x
  3. Step 3: Cross multiply
    8,176.80x = 12,256.80 × 4,010.40
  4. Step 4: Simplify right side
    8,176.80x = 49,154,670.72
  5. Step 5: Solve for x
    x = 49,154,670.72/8,176.80
  6. Step 6: Final answer
    x = 6,011.48

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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.