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Finding the Fourth Proportional to 8,762.42, 13,194.98 and 6,314.20

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Solution

The fourth proportional to 8,762.42, 13,194.98 and 6,314.20 is: 9,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.42 : 13,194.98 = 6,314.20 : x
  2. Step 2: Convert to fraction form
    8,762.42/13,194.98 = 6,314.20/x
  3. Step 3: Cross multiply
    8,762.42x = 13,194.98 × 6,314.20
  4. Step 4: Simplify right side
    8,762.42x = 83,315,742.72
  5. Step 5: Solve for x
    x = 83,315,742.72/8,762.42
  6. Step 6: Final answer
    x = 9,508.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.