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Finding the Fourth Proportional to 9,041.67, 12,487.50 and 8,294.45

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Solution

The fourth proportional to 9,041.67, 12,487.50 and 8,294.45 is: 11,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.67 : 12,487.50 = 8,294.45 : x
  2. Step 2: Convert to fraction form
    9,041.67/12,487.50 = 8,294.45/x
  3. Step 3: Cross multiply
    9,041.67x = 12,487.50 × 8,294.45
  4. Step 4: Simplify right side
    9,041.67x = 103,576,881.94
  5. Step 5: Solve for x
    x = 103,576,881.94/9,041.67
  6. Step 6: Final answer
    x = 11,455.50

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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.