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Finding the Fourth Proportional to 7,047, 9,726.48 and 4,254.12

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Solution

The fourth proportional to 7,047, 9,726.48 and 4,254.12 is: 5,871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047 : 9,726.48 = 4,254.12 : x
  2. Step 2: Convert to fraction form
    7,047/9,726.48 = 4,254.12/x
  3. Step 3: Cross multiply
    7,047x = 9,726.48 × 4,254.12
  4. Step 4: Simplify right side
    7,047x = 41,377,613.10
  5. Step 5: Solve for x
    x = 41,377,613.10/7,047
  6. Step 6: Final answer
    x = 5,871.66

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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.