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Finding the Fourth Proportional to 10,006.94, 13,808.94 and 5,530.62

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Solution

The fourth proportional to 10,006.94, 13,808.94 and 5,530.62 is: 7,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.94 : 13,808.94 = 5,530.62 : x
  2. Step 2: Convert to fraction form
    10,006.94/13,808.94 = 5,530.62/x
  3. Step 3: Cross multiply
    10,006.94x = 13,808.94 × 5,530.62
  4. Step 4: Simplify right side
    10,006.94x = 76,371,999.74
  5. Step 5: Solve for x
    x = 76,371,999.74/10,006.94
  6. Step 6: Final answer
    x = 7,631.90

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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.