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Finding the Fourth Proportional to 8,764.96, 13,085 and 8,457.40

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Solution

The fourth proportional to 8,764.96, 13,085 and 8,457.40 is: 12,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.96 : 13,085 = 8,457.40 : x
  2. Step 2: Convert to fraction form
    8,764.96/13,085 = 8,457.40/x
  3. Step 3: Cross multiply
    8,764.96x = 13,085 × 8,457.40
  4. Step 4: Simplify right side
    8,764.96x = 110,665,079
  5. Step 5: Solve for x
    x = 110,665,079/8,764.96
  6. Step 6: Final answer
    x = 12,625.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.