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Finding the Fourth Proportional to 10,563, 14,577.48 and 6,371.52

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Solution

The fourth proportional to 10,563, 14,577.48 and 6,371.52 is: 8,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563 : 14,577.48 = 6,371.52 : x
  2. Step 2: Convert to fraction form
    10,563/14,577.48 = 6,371.52/x
  3. Step 3: Cross multiply
    10,563x = 14,577.48 × 6,371.52
  4. Step 4: Simplify right side
    10,563x = 92,880,705.37
  5. Step 5: Solve for x
    x = 92,880,705.37/10,563
  6. Step 6: Final answer
    x = 8,793.02

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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.