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Finding the Fourth Proportional to 8,665.74, 11,953.59 and 5,310.06

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Solution

The fourth proportional to 8,665.74, 11,953.59 and 5,310.06 is: 7,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.74 : 11,953.59 = 5,310.06 : x
  2. Step 2: Convert to fraction form
    8,665.74/11,953.59 = 5,310.06/x
  3. Step 3: Cross multiply
    8,665.74x = 11,953.59 × 5,310.06
  4. Step 4: Simplify right side
    8,665.74x = 63,474,280.12
  5. Step 5: Solve for x
    x = 63,474,280.12/8,665.74
  6. Step 6: Final answer
    x = 7,324.74

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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.