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Finding the Fourth Proportional to 5,214.48, 7,823.01 and 1,516.74

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Solution

The fourth proportional to 5,214.48, 7,823.01 and 1,516.74 is: 2,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.48 : 7,823.01 = 1,516.74 : x
  2. Step 2: Convert to fraction form
    5,214.48/7,823.01 = 1,516.74/x
  3. Step 3: Cross multiply
    5,214.48x = 7,823.01 × 1,516.74
  4. Step 4: Simplify right side
    5,214.48x = 11,865,446.74
  5. Step 5: Solve for x
    x = 11,865,446.74/5,214.48
  6. Step 6: Final answer
    x = 2,275.48

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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.