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Finding the Fourth Proportional to 4,707.48, 7,062.24 and 1,420.86

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Solution

The fourth proportional to 4,707.48, 7,062.24 and 1,420.86 is: 2,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.48 : 7,062.24 = 1,420.86 : x
  2. Step 2: Convert to fraction form
    4,707.48/7,062.24 = 1,420.86/x
  3. Step 3: Cross multiply
    4,707.48x = 7,062.24 × 1,420.86
  4. Step 4: Simplify right side
    4,707.48x = 10,034,454.33
  5. Step 5: Solve for x
    x = 10,034,454.33/4,707.48
  6. Step 6: Final answer
    x = 2,131.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.