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Finding the Fourth Proportional to 8,592.34, 12,876.99 and 7,071.70

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Solution

The fourth proportional to 8,592.34, 12,876.99 and 7,071.70 is: 10,598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,592.34 : 12,876.99 = 7,071.70 : x
  2. Step 2: Convert to fraction form
    8,592.34/12,876.99 = 7,071.70/x
  3. Step 3: Cross multiply
    8,592.34x = 12,876.99 × 7,071.70
  4. Step 4: Simplify right side
    8,592.34x = 91,062,210.18
  5. Step 5: Solve for x
    x = 91,062,210.18/8,592.34
  6. Step 6: Final answer
    x = 10,598.07

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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.