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Finding the Fourth Proportional to 7,665.44, 10,588.93 and 5,919.08

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Solution

The fourth proportional to 7,665.44, 10,588.93 and 5,919.08 is: 8,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.44 : 10,588.93 = 5,919.08 : x
  2. Step 2: Convert to fraction form
    7,665.44/10,588.93 = 5,919.08/x
  3. Step 3: Cross multiply
    7,665.44x = 10,588.93 × 5,919.08
  4. Step 4: Simplify right side
    7,665.44x = 62,676,656.04
  5. Step 5: Solve for x
    x = 62,676,656.04/7,665.44
  6. Step 6: Final answer
    x = 8,176.53

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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.