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Finding the Fourth Proportional to 5,707.24, 7,875.78 and 3,223.24

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Solution

The fourth proportional to 5,707.24, 7,875.78 and 3,223.24 is: 4,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.24 : 7,875.78 = 3,223.24 : x
  2. Step 2: Convert to fraction form
    5,707.24/7,875.78 = 3,223.24/x
  3. Step 3: Cross multiply
    5,707.24x = 7,875.78 × 3,223.24
  4. Step 4: Simplify right side
    5,707.24x = 25,385,529.13
  5. Step 5: Solve for x
    x = 25,385,529.13/5,707.24
  6. Step 6: Final answer
    x = 4,447.95

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Half scale
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Double 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.