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Finding the Fourth Proportional to 4,854.60, 6,718.59 and 4,738.14

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Solution

The fourth proportional to 4,854.60, 6,718.59 and 4,738.14 is: 6,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.60 : 6,718.59 = 4,738.14 : x
  2. Step 2: Convert to fraction form
    4,854.60/6,718.59 = 4,738.14/x
  3. Step 3: Cross multiply
    4,854.60x = 6,718.59 × 4,738.14
  4. Step 4: Simplify right side
    4,854.60x = 31,833,620.02
  5. Step 5: Solve for x
    x = 31,833,620.02/4,854.60
  6. Step 6: Final answer
    x = 6,557.41

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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.