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Finding the Fourth Proportional to 7,937.16, 10,962.06 and 6,166.08

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Solution

The fourth proportional to 7,937.16, 10,962.06 and 6,166.08 is: 8,516.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.16 : 10,962.06 = 6,166.08 : x
  2. Step 2: Convert to fraction form
    7,937.16/10,962.06 = 6,166.08/x
  3. Step 3: Cross multiply
    7,937.16x = 10,962.06 × 6,166.08
  4. Step 4: Simplify right side
    7,937.16x = 67,592,938.92
  5. Step 5: Solve for x
    x = 67,592,938.92/7,937.16
  6. Step 6: Final answer
    x = 8,516.01

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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.