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Finding the Fourth Proportional to 9,041.67, 13,564.95 and 8,174.16

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Solution

The fourth proportional to 9,041.67, 13,564.95 and 8,174.16 is: 12,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.67 : 13,564.95 = 8,174.16 : x
  2. Step 2: Convert to fraction form
    9,041.67/13,564.95 = 8,174.16/x
  3. Step 3: Cross multiply
    9,041.67x = 13,564.95 × 8,174.16
  4. Step 4: Simplify right side
    9,041.67x = 110,882,071.69
  5. Step 5: Solve for x
    x = 110,882,071.69/9,041.67
  6. Step 6: Final answer
    x = 12,263.45

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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.