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Finding the Fourth Proportional to 8,457.40, 12,686.10 and 4,310.20

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Solution

The fourth proportional to 8,457.40, 12,686.10 and 4,310.20 is: 6,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.40 : 12,686.10 = 4,310.20 : x
  2. Step 2: Convert to fraction form
    8,457.40/12,686.10 = 4,310.20/x
  3. Step 3: Cross multiply
    8,457.40x = 12,686.10 × 4,310.20
  4. Step 4: Simplify right side
    8,457.40x = 54,679,628.22
  5. Step 5: Solve for x
    x = 54,679,628.22/8,457.40
  6. Step 6: Final answer
    x = 6,465.30

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Similar ratio
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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.