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Finding the Fourth Proportional to 9,569.67, 13,206.95 and 5,321.04

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Solution

The fourth proportional to 9,569.67, 13,206.95 and 5,321.04 is: 7,343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.67 : 13,206.95 = 5,321.04 : x
  2. Step 2: Convert to fraction form
    9,569.67/13,206.95 = 5,321.04/x
  3. Step 3: Cross multiply
    9,569.67x = 13,206.95 × 5,321.04
  4. Step 4: Simplify right side
    9,569.67x = 70,274,709.23
  5. Step 5: Solve for x
    x = 70,274,709.23/9,569.67
  6. Step 6: Final answer
    x = 7,343.48

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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.