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Finding the Fourth Proportional to 8,673.18, 11,966.06 and 5,646.93

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Solution

The fourth proportional to 8,673.18, 11,966.06 and 5,646.93 is: 7,790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673.18 : 11,966.06 = 5,646.93 : x
  2. Step 2: Convert to fraction form
    8,673.18/11,966.06 = 5,646.93/x
  3. Step 3: Cross multiply
    8,673.18x = 11,966.06 × 5,646.93
  4. Step 4: Simplify right side
    8,673.18x = 67,571,503.20
  5. Step 5: Solve for x
    x = 67,571,503.20/8,673.18
  6. Step 6: Final answer
    x = 7,790.86

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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.