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Finding the Fourth Proportional to 9,177.68, 13,779.48 and 5,837.24

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Solution

The fourth proportional to 9,177.68, 13,779.48 and 5,837.24 is: 8,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.68 : 13,779.48 = 5,837.24 : x
  2. Step 2: Convert to fraction form
    9,177.68/13,779.48 = 5,837.24/x
  3. Step 3: Cross multiply
    9,177.68x = 13,779.48 × 5,837.24
  4. Step 4: Simplify right side
    9,177.68x = 80,434,131.84
  5. Step 5: Solve for x
    x = 80,434,131.84/9,177.68
  6. Step 6: Final answer
    x = 8,764.10

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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.