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Finding the Fourth Proportional to 9,471, 13,069.96 and 5,279.24

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Solution

The fourth proportional to 9,471, 13,069.96 and 5,279.24 is: 7,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471 : 13,069.96 = 5,279.24 : x
  2. Step 2: Convert to fraction form
    9,471/13,069.96 = 5,279.24/x
  3. Step 3: Cross multiply
    9,471x = 13,069.96 × 5,279.24
  4. Step 4: Simplify right side
    9,471x = 68,999,455.63
  5. Step 5: Solve for x
    x = 68,999,455.63/9,471
  6. Step 6: Final answer
    x = 7,285.34

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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.