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Finding the Fourth Proportional to 6,746.98, 9,322.26 and 4,854.82

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Solution

The fourth proportional to 6,746.98, 9,322.26 and 4,854.82 is: 6,707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.98 : 9,322.26 = 4,854.82 : x
  2. Step 2: Convert to fraction form
    6,746.98/9,322.26 = 4,854.82/x
  3. Step 3: Cross multiply
    6,746.98x = 9,322.26 × 4,854.82
  4. Step 4: Simplify right side
    6,746.98x = 45,257,894.29
  5. Step 5: Solve for x
    x = 45,257,894.29/6,746.98
  6. Step 6: Final answer
    x = 6,707.87

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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.