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Finding the Fourth Proportional to 4,006.76, 6,010.14 and 1,409.09

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Solution

The fourth proportional to 4,006.76, 6,010.14 and 1,409.09 is: 2,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.76 : 6,010.14 = 1,409.09 : x
  2. Step 2: Convert to fraction form
    4,006.76/6,010.14 = 1,409.09/x
  3. Step 3: Cross multiply
    4,006.76x = 6,010.14 × 1,409.09
  4. Step 4: Simplify right side
    4,006.76x = 8,468,828.17
  5. Step 5: Solve for x
    x = 8,468,828.17/4,006.76
  6. Step 6: Final answer
    x = 2,113.64

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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.