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Finding the Fourth Proportional to 8,341.76, 12,512.66 and 6,774.32

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Solution

The fourth proportional to 8,341.76, 12,512.66 and 6,774.32 is: 10,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.76 : 12,512.66 = 6,774.32 : x
  2. Step 2: Convert to fraction form
    8,341.76/12,512.66 = 6,774.32/x
  3. Step 3: Cross multiply
    8,341.76x = 12,512.66 × 6,774.32
  4. Step 4: Simplify right side
    8,341.76x = 84,764,762.89
  5. Step 5: Solve for x
    x = 84,764,762.89/8,341.76
  6. Step 6: Final answer
    x = 10,161.50

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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.