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Finding the Fourth Proportional to 10,427.76, 14,388 and 6,176.70

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Solution

The fourth proportional to 10,427.76, 14,388 and 6,176.70 is: 8,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.76 : 14,388 = 6,176.70 : x
  2. Step 2: Convert to fraction form
    10,427.76/14,388 = 6,176.70/x
  3. Step 3: Cross multiply
    10,427.76x = 14,388 × 6,176.70
  4. Step 4: Simplify right side
    10,427.76x = 88,870,359.60
  5. Step 5: Solve for x
    x = 88,870,359.60/10,427.76
  6. Step 6: Final answer
    x = 8,522.48

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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.