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Finding the Fourth Proportional to 8,971.76, 13,448.96 and 5,024.94

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Solution

The fourth proportional to 8,971.76, 13,448.96 and 5,024.94 is: 7,532.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.76 : 13,448.96 = 5,024.94 : x
  2. Step 2: Convert to fraction form
    8,971.76/13,448.96 = 5,024.94/x
  3. Step 3: Cross multiply
    8,971.76x = 13,448.96 × 5,024.94
  4. Step 4: Simplify right side
    8,971.76x = 67,580,174.48
  5. Step 5: Solve for x
    x = 67,580,174.48/8,971.76
  6. Step 6: Final answer
    x = 7,532.54

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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.