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Finding the Fourth Proportional to 6,714.94, 9,264.06 and 4,950.76

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Solution

The fourth proportional to 6,714.94, 9,264.06 and 4,950.76 is: 6,830.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.94 : 9,264.06 = 4,950.76 : x
  2. Step 2: Convert to fraction form
    6,714.94/9,264.06 = 4,950.76/x
  3. Step 3: Cross multiply
    6,714.94x = 9,264.06 × 4,950.76
  4. Step 4: Simplify right side
    6,714.94x = 45,864,137.69
  5. Step 5: Solve for x
    x = 45,864,137.69/6,714.94
  6. Step 6: Final answer
    x = 6,830.16

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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.