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Finding the Fourth Proportional to 10,862.10, 16,305.30 and 8,407.80

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Solution

The fourth proportional to 10,862.10, 16,305.30 and 8,407.80 is: 12,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.10 : 16,305.30 = 8,407.80 : x
  2. Step 2: Convert to fraction form
    10,862.10/16,305.30 = 8,407.80/x
  3. Step 3: Cross multiply
    10,862.10x = 16,305.30 × 8,407.80
  4. Step 4: Simplify right side
    10,862.10x = 137,091,701.34
  5. Step 5: Solve for x
    x = 137,091,701.34/10,862.10
  6. Step 6: Final answer
    x = 12,621.10

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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.