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Finding the Fourth Proportional to 6,846.32, 9,448 and 4,156.76

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Solution

The fourth proportional to 6,846.32, 9,448 and 4,156.76 is: 5,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.32 : 9,448 = 4,156.76 : x
  2. Step 2: Convert to fraction form
    6,846.32/9,448 = 4,156.76/x
  3. Step 3: Cross multiply
    6,846.32x = 9,448 × 4,156.76
  4. Step 4: Simplify right side
    6,846.32x = 39,273,068.48
  5. Step 5: Solve for x
    x = 39,273,068.48/6,846.32
  6. Step 6: Final answer
    x = 5,736.38

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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.