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Finding the Fourth Proportional to 5,892.48, 8,127.84 and 4,830.72

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Solution

The fourth proportional to 5,892.48, 8,127.84 and 4,830.72 is: 6,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.48 : 8,127.84 = 4,830.72 : x
  2. Step 2: Convert to fraction form
    5,892.48/8,127.84 = 4,830.72/x
  3. Step 3: Cross multiply
    5,892.48x = 8,127.84 × 4,830.72
  4. Step 4: Simplify right side
    5,892.48x = 39,263,319.24
  5. Step 5: Solve for x
    x = 39,263,319.24/5,892.48
  6. Step 6: Final answer
    x = 6,663.29

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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.