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Finding the Fourth Proportional to 4,760.57, 7,109.24 and 4,709.10

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Solution

The fourth proportional to 4,760.57, 7,109.24 and 4,709.10 is: 7,032.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.57 : 7,109.24 = 4,709.10 : x
  2. Step 2: Convert to fraction form
    4,760.57/7,109.24 = 4,709.10/x
  3. Step 3: Cross multiply
    4,760.57x = 7,109.24 × 4,709.10
  4. Step 4: Simplify right side
    4,760.57x = 33,478,125.20
  5. Step 5: Solve for x
    x = 33,478,125.20/4,760.57
  6. Step 6: Final answer
    x = 7,032.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.