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Finding the Fourth Proportional to 6,972.16, 9,626.08 and 4,322.38

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Solution

The fourth proportional to 6,972.16, 9,626.08 and 4,322.38 is: 5,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.16 : 9,626.08 = 4,322.38 : x
  2. Step 2: Convert to fraction form
    6,972.16/9,626.08 = 4,322.38/x
  3. Step 3: Cross multiply
    6,972.16x = 9,626.08 × 4,322.38
  4. Step 4: Simplify right side
    6,972.16x = 41,607,575.67
  5. Step 5: Solve for x
    x = 41,607,575.67/6,972.16
  6. Step 6: Final answer
    x = 5,967.67

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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.