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Finding the Fourth Proportional to 9,281.67, 12,811.10 and 6,302.49

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Solution

The fourth proportional to 9,281.67, 12,811.10 and 6,302.49 is: 8,699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.67 : 12,811.10 = 6,302.49 : x
  2. Step 2: Convert to fraction form
    9,281.67/12,811.10 = 6,302.49/x
  3. Step 3: Cross multiply
    9,281.67x = 12,811.10 × 6,302.49
  4. Step 4: Simplify right side
    9,281.67x = 80,741,798.13
  5. Step 5: Solve for x
    x = 80,741,798.13/9,281.67
  6. Step 6: Final answer
    x = 8,699.06

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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.