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Finding the Fourth Proportional to 9,614.08, 13,268 and 5,888.80

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Solution

The fourth proportional to 9,614.08, 13,268 and 5,888.80 is: 8,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.08 : 13,268 = 5,888.80 : x
  2. Step 2: Convert to fraction form
    9,614.08/13,268 = 5,888.80/x
  3. Step 3: Cross multiply
    9,614.08x = 13,268 × 5,888.80
  4. Step 4: Simplify right side
    9,614.08x = 78,132,598.40
  5. Step 5: Solve for x
    x = 78,132,598.40/9,614.08
  6. Step 6: Final answer
    x = 8,126.89

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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.