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Finding the Fourth Proportional to 7,971, 10,999.23 and 4,385.91

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Solution

The fourth proportional to 7,971, 10,999.23 and 4,385.91 is: 6,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971 : 10,999.23 = 4,385.91 : x
  2. Step 2: Convert to fraction form
    7,971/10,999.23 = 4,385.91/x
  3. Step 3: Cross multiply
    7,971x = 10,999.23 × 4,385.91
  4. Step 4: Simplify right side
    7,971x = 48,241,632.85
  5. Step 5: Solve for x
    x = 48,241,632.85/7,971
  6. Step 6: Final answer
    x = 6,052.14

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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.