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Finding the Fourth Proportional to 8,813.10, 12,162.64 and 5,823.70

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Solution

The fourth proportional to 8,813.10, 12,162.64 and 5,823.70 is: 8,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.10 : 12,162.64 = 5,823.70 : x
  2. Step 2: Convert to fraction form
    8,813.10/12,162.64 = 5,823.70/x
  3. Step 3: Cross multiply
    8,813.10x = 12,162.64 × 5,823.70
  4. Step 4: Simplify right side
    8,813.10x = 70,831,566.57
  5. Step 5: Solve for x
    x = 70,831,566.57/8,813.10
  6. Step 6: Final answer
    x = 8,037.08

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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.