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Finding the Fourth Proportional to 8,569.26, 11,838.69 and 7,323.21

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Solution

The fourth proportional to 8,569.26, 11,838.69 and 7,323.21 is: 10,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.26 : 11,838.69 = 7,323.21 : x
  2. Step 2: Convert to fraction form
    8,569.26/11,838.69 = 7,323.21/x
  3. Step 3: Cross multiply
    8,569.26x = 11,838.69 × 7,323.21
  4. Step 4: Simplify right side
    8,569.26x = 86,697,212.99
  5. Step 5: Solve for x
    x = 86,697,212.99/8,569.26
  6. Step 6: Final answer
    x = 10,117.23

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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.