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Finding the Fourth Proportional to 6,992.04, 9,647.46 and 4,159.20

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Solution

The fourth proportional to 6,992.04, 9,647.46 and 4,159.20 is: 5,738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.04 : 9,647.46 = 4,159.20 : x
  2. Step 2: Convert to fraction form
    6,992.04/9,647.46 = 4,159.20/x
  3. Step 3: Cross multiply
    6,992.04x = 9,647.46 × 4,159.20
  4. Step 4: Simplify right side
    6,992.04x = 40,125,715.63
  5. Step 5: Solve for x
    x = 40,125,715.63/6,992.04
  6. Step 6: Final answer
    x = 5,738.77

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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.