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Finding the Fourth Proportional to 27,097.00, 40,658.46 and 9,575.08

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Solution

The fourth proportional to 27,097.00, 40,658.46 and 9,575.08 is: 14,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.00 : 40,658.46 = 9,575.08 : x
  2. Step 2: Convert to fraction form
    27,097.00/40,658.46 = 9,575.08/x
  3. Step 3: Cross multiply
    27,097.00x = 40,658.46 × 9,575.08
  4. Step 4: Simplify right side
    27,097.00x = 389,307,756.01
  5. Step 5: Solve for x
    x = 389,307,756.01/27,097.00
  6. Step 6: Final answer
    x = 14,367.19

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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.