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Finding the Fourth Proportional to 6,909.88, 9,541.26 and 5,633.98

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Solution

The fourth proportional to 6,909.88, 9,541.26 and 5,633.98 is: 7,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.88 : 9,541.26 = 5,633.98 : x
  2. Step 2: Convert to fraction form
    6,909.88/9,541.26 = 5,633.98/x
  3. Step 3: Cross multiply
    6,909.88x = 9,541.26 × 5,633.98
  4. Step 4: Simplify right side
    6,909.88x = 53,755,268.01
  5. Step 5: Solve for x
    x = 53,755,268.01/6,909.88
  6. Step 6: Final answer
    x = 7,779.48

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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.