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Finding the Fourth Proportional to 7,047.85, 9,726.35 and 3,904.03

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Solution

The fourth proportional to 7,047.85, 9,726.35 and 3,904.03 is: 5,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.85 : 9,726.35 = 3,904.03 : x
  2. Step 2: Convert to fraction form
    7,047.85/9,726.35 = 3,904.03/x
  3. Step 3: Cross multiply
    7,047.85x = 9,726.35 × 3,904.03
  4. Step 4: Simplify right side
    7,047.85x = 37,971,942.67
  5. Step 5: Solve for x
    x = 37,971,942.67/7,047.85
  6. Step 6: Final answer
    x = 5,387.74

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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.