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Finding the Fourth Proportional to 6,614.38, 9,130.09 and 4,629.08

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Solution

The fourth proportional to 6,614.38, 9,130.09 and 4,629.08 is: 6,389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.38 : 9,130.09 = 4,629.08 : x
  2. Step 2: Convert to fraction form
    6,614.38/9,130.09 = 4,629.08/x
  3. Step 3: Cross multiply
    6,614.38x = 9,130.09 × 4,629.08
  4. Step 4: Simplify right side
    6,614.38x = 42,263,917.02
  5. Step 5: Solve for x
    x = 42,263,917.02/6,614.38
  6. Step 6: Final answer
    x = 6,389.70

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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.