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Finding the Fourth Proportional to 4,868.32, 6,714.48 and 2,978.32

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Solution

The fourth proportional to 4,868.32, 6,714.48 and 2,978.32 is: 4,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.32 : 6,714.48 = 2,978.32 : x
  2. Step 2: Convert to fraction form
    4,868.32/6,714.48 = 2,978.32/x
  3. Step 3: Cross multiply
    4,868.32x = 6,714.48 × 2,978.32
  4. Step 4: Simplify right side
    4,868.32x = 19,997,870.07
  5. Step 5: Solve for x
    x = 19,997,870.07/4,868.32
  6. Step 6: Final answer
    x = 4,107.76

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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.