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Finding the Fourth Proportional to 7,143, 9,861.66 and 4,663.32

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Solution

The fourth proportional to 7,143, 9,861.66 and 4,663.32 is: 6,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143 : 9,861.66 = 4,663.32 : x
  2. Step 2: Convert to fraction form
    7,143/9,861.66 = 4,663.32/x
  3. Step 3: Cross multiply
    7,143x = 9,861.66 × 4,663.32
  4. Step 4: Simplify right side
    7,143x = 45,988,076.31
  5. Step 5: Solve for x
    x = 45,988,076.31/7,143
  6. Step 6: Final answer
    x = 6,438.20

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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.