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Finding the Fourth Proportional to 6,967.66, 10,463.71 and 5,409.42

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Solution

The fourth proportional to 6,967.66, 10,463.71 and 5,409.42 is: 8,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.66 : 10,463.71 = 5,409.42 : x
  2. Step 2: Convert to fraction form
    6,967.66/10,463.71 = 5,409.42/x
  3. Step 3: Cross multiply
    6,967.66x = 10,463.71 × 5,409.42
  4. Step 4: Simplify right side
    6,967.66x = 56,602,602.15
  5. Step 5: Solve for x
    x = 56,602,602.15/6,967.66
  6. Step 6: Final answer
    x = 8,123.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.