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Finding the Fourth Proportional to 6,972.34, 9,608.53 and 6,844.24

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Solution

The fourth proportional to 6,972.34, 9,608.53 and 6,844.24 is: 9,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.34 : 9,608.53 = 6,844.24 : x
  2. Step 2: Convert to fraction form
    6,972.34/9,608.53 = 6,844.24/x
  3. Step 3: Cross multiply
    6,972.34x = 9,608.53 × 6,844.24
  4. Step 4: Simplify right side
    6,972.34x = 65,763,085.37
  5. Step 5: Solve for x
    x = 65,763,085.37/6,972.34
  6. Step 6: Final answer
    x = 9,432.00

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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.