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Finding the Fourth Proportional to 8,666.76, 11,961.54 and 6,443.40

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Solution

The fourth proportional to 8,666.76, 11,961.54 and 6,443.40 is: 8,892.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.76 : 11,961.54 = 6,443.40 : x
  2. Step 2: Convert to fraction form
    8,666.76/11,961.54 = 6,443.40/x
  3. Step 3: Cross multiply
    8,666.76x = 11,961.54 × 6,443.40
  4. Step 4: Simplify right side
    8,666.76x = 77,072,986.84
  5. Step 5: Solve for x
    x = 77,072,986.84/8,666.76
  6. Step 6: Final answer
    x = 8,892.94

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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.