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Finding the Fourth Proportional to 6,556.66, 9,794.46 and 5,897.49

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Solution

The fourth proportional to 6,556.66, 9,794.46 and 5,897.49 is: 8,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.66 : 9,794.46 = 5,897.49 : x
  2. Step 2: Convert to fraction form
    6,556.66/9,794.46 = 5,897.49/x
  3. Step 3: Cross multiply
    6,556.66x = 9,794.46 × 5,897.49
  4. Step 4: Simplify right side
    6,556.66x = 57,762,729.91
  5. Step 5: Solve for x
    x = 57,762,729.91/6,556.66
  6. Step 6: Final answer
    x = 8,809.78

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.