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Finding the Fourth Proportional to 3,513.96, 5,270.49 and 916.74

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Solution

The fourth proportional to 3,513.96, 5,270.49 and 916.74 is: 1,374.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.96 : 5,270.49 = 916.74 : x
  2. Step 2: Convert to fraction form
    3,513.96/5,270.49 = 916.74/x
  3. Step 3: Cross multiply
    3,513.96x = 5,270.49 × 916.74
  4. Step 4: Simplify right side
    3,513.96x = 4,831,669.00
  5. Step 5: Solve for x
    x = 4,831,669.00/3,513.96
  6. Step 6: Final answer
    x = 1,374.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.