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Finding the Fourth Proportional to 5,484.96, 7,568.64 and 4,893.12

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Solution

The fourth proportional to 5,484.96, 7,568.64 and 4,893.12 is: 6,751.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.96 : 7,568.64 = 4,893.12 : x
  2. Step 2: Convert to fraction form
    5,484.96/7,568.64 = 4,893.12/x
  3. Step 3: Cross multiply
    5,484.96x = 7,568.64 × 4,893.12
  4. Step 4: Simplify right side
    5,484.96x = 37,034,263.76
  5. Step 5: Solve for x
    x = 37,034,263.76/5,484.96
  6. Step 6: Final answer
    x = 6,751.97

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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.