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Finding the Fourth Proportional to 27,098.04, 40,646.04 and 9,567.42

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Solution

The fourth proportional to 27,098.04, 40,646.04 and 9,567.42 is: 14,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098.04 : 40,646.04 = 9,567.42 : x
  2. Step 2: Convert to fraction form
    27,098.04/40,646.04 = 9,567.42/x
  3. Step 3: Cross multiply
    27,098.04x = 40,646.04 × 9,567.42
  4. Step 4: Simplify right side
    27,098.04x = 388,877,736.02
  5. Step 5: Solve for x
    x = 388,877,736.02/27,098.04
  6. Step 6: Final answer
    x = 14,350.77

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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.