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Finding the Fourth Proportional to 6,340.34, 8,746.76 and 4,102.94

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Solution

The fourth proportional to 6,340.34, 8,746.76 and 4,102.94 is: 5,660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.34 : 8,746.76 = 4,102.94 : x
  2. Step 2: Convert to fraction form
    6,340.34/8,746.76 = 4,102.94/x
  3. Step 3: Cross multiply
    6,340.34x = 8,746.76 × 4,102.94
  4. Step 4: Simplify right side
    6,340.34x = 35,887,431.47
  5. Step 5: Solve for x
    x = 35,887,431.47/6,340.34
  6. Step 6: Final answer
    x = 5,660.17

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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.