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Finding the Fourth Proportional to 5,224.62, 7,875.12 and 4,923.30

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Solution

The fourth proportional to 5,224.62, 7,875.12 and 4,923.30 is: 7,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.62 : 7,875.12 = 4,923.30 : x
  2. Step 2: Convert to fraction form
    5,224.62/7,875.12 = 4,923.30/x
  3. Step 3: Cross multiply
    5,224.62x = 7,875.12 × 4,923.30
  4. Step 4: Simplify right side
    5,224.62x = 38,771,578.30
  5. Step 5: Solve for x
    x = 38,771,578.30/5,224.62
  6. Step 6: Final answer
    x = 7,420.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.