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Finding the Fourth Proportional to 6,588, 9,095.49 and 4,234.28

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Solution

The fourth proportional to 6,588, 9,095.49 and 4,234.28 is: 5,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588 : 9,095.49 = 4,234.28 : x
  2. Step 2: Convert to fraction form
    6,588/9,095.49 = 4,234.28/x
  3. Step 3: Cross multiply
    6,588x = 9,095.49 × 4,234.28
  4. Step 4: Simplify right side
    6,588x = 38,512,805.92
  5. Step 5: Solve for x
    x = 38,512,805.92/6,588
  6. Step 6: Final answer
    x = 5,845.90

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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.