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Finding the Fourth Proportional to 6,745.60, 9,298.29 and 5,064.58

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Solution

The fourth proportional to 6,745.60, 9,298.29 and 5,064.58 is: 6,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.60 : 9,298.29 = 5,064.58 : x
  2. Step 2: Convert to fraction form
    6,745.60/9,298.29 = 5,064.58/x
  3. Step 3: Cross multiply
    6,745.60x = 9,298.29 × 5,064.58
  4. Step 4: Simplify right side
    6,745.60x = 47,091,933.57
  5. Step 5: Solve for x
    x = 47,091,933.57/6,745.60
  6. Step 6: Final answer
    x = 6,981.13

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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.