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Finding the Fourth Proportional to 7,587.54, 10,469.88 and 4,230.54

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Solution

The fourth proportional to 7,587.54, 10,469.88 and 4,230.54 is: 5,837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.54 : 10,469.88 = 4,230.54 : x
  2. Step 2: Convert to fraction form
    7,587.54/10,469.88 = 4,230.54/x
  3. Step 3: Cross multiply
    7,587.54x = 10,469.88 × 4,230.54
  4. Step 4: Simplify right side
    7,587.54x = 44,293,246.14
  5. Step 5: Solve for x
    x = 44,293,246.14/7,587.54
  6. Step 6: Final answer
    x = 5,837.63

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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.