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Finding the Fourth Proportional to 8,039.92, 11,095 and 4,503.16

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Solution

The fourth proportional to 8,039.92, 11,095 and 4,503.16 is: 6,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.92 : 11,095 = 4,503.16 : x
  2. Step 2: Convert to fraction form
    8,039.92/11,095 = 4,503.16/x
  3. Step 3: Cross multiply
    8,039.92x = 11,095 × 4,503.16
  4. Step 4: Simplify right side
    8,039.92x = 49,962,560.20
  5. Step 5: Solve for x
    x = 49,962,560.20/8,039.92
  6. Step 6: Final answer
    x = 6,214.31

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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.