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Finding the Fourth Proportional to 6,000.48, 8,929.44 and 5,767.20

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Solution

The fourth proportional to 6,000.48, 8,929.44 and 5,767.20 is: 8,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.48 : 8,929.44 = 5,767.20 : x
  2. Step 2: Convert to fraction form
    6,000.48/8,929.44 = 5,767.20/x
  3. Step 3: Cross multiply
    6,000.48x = 8,929.44 × 5,767.20
  4. Step 4: Simplify right side
    6,000.48x = 51,497,866.37
  5. Step 5: Solve for x
    x = 51,497,866.37/6,000.48
  6. Step 6: Final answer
    x = 8,582.29

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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.