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Finding the Fourth Proportional to 7,967.35, 10,997.67 and 4,823.54

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Solution

The fourth proportional to 7,967.35, 10,997.67 and 4,823.54 is: 6,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.35 : 10,997.67 = 4,823.54 : x
  2. Step 2: Convert to fraction form
    7,967.35/10,997.67 = 4,823.54/x
  3. Step 3: Cross multiply
    7,967.35x = 10,997.67 × 4,823.54
  4. Step 4: Simplify right side
    7,967.35x = 53,047,646.16
  5. Step 5: Solve for x
    x = 53,047,646.16/7,967.35
  6. Step 6: Final answer
    x = 6,658.13

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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.