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Finding the Fourth Proportional to 7,569.25, 10,429.96 and 7,467.19

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Solution

The fourth proportional to 7,569.25, 10,429.96 and 7,467.19 is: 10,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.25 : 10,429.96 = 7,467.19 : x
  2. Step 2: Convert to fraction form
    7,569.25/10,429.96 = 7,467.19/x
  3. Step 3: Cross multiply
    7,569.25x = 10,429.96 × 7,467.19
  4. Step 4: Simplify right side
    7,569.25x = 77,882,493.01
  5. Step 5: Solve for x
    x = 77,882,493.01/7,569.25
  6. Step 6: Final answer
    x = 10,289.33

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Half scale
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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.