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Finding the Fourth Proportional to 6,514.02, 9,754.02 and 4,955.58

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Solution

The fourth proportional to 6,514.02, 9,754.02 and 4,955.58 is: 7,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.02 : 9,754.02 = 4,955.58 : x
  2. Step 2: Convert to fraction form
    6,514.02/9,754.02 = 4,955.58/x
  3. Step 3: Cross multiply
    6,514.02x = 9,754.02 × 4,955.58
  4. Step 4: Simplify right side
    6,514.02x = 48,336,826.43
  5. Step 5: Solve for x
    x = 48,336,826.43/6,514.02
  6. Step 6: Final answer
    x = 7,420.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.