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Finding the Fourth Proportional to 8,667.76, 11,962.92 and 6,444.40

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Solution

The fourth proportional to 8,667.76, 11,962.92 and 6,444.40 is: 8,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.76 : 11,962.92 = 6,444.40 : x
  2. Step 2: Convert to fraction form
    8,667.76/11,962.92 = 6,444.40/x
  3. Step 3: Cross multiply
    8,667.76x = 11,962.92 × 6,444.40
  4. Step 4: Simplify right side
    8,667.76x = 77,093,841.65
  5. Step 5: Solve for x
    x = 77,093,841.65/8,667.76
  6. Step 6: Final answer
    x = 8,894.32

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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.