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Finding the Fourth Proportional to 13,006.40, 19,502.40 and 5,609.60

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Solution

The fourth proportional to 13,006.40, 19,502.40 and 5,609.60 is: 8,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.40 : 19,502.40 = 5,609.60 : x
  2. Step 2: Convert to fraction form
    13,006.40/19,502.40 = 5,609.60/x
  3. Step 3: Cross multiply
    13,006.40x = 19,502.40 × 5,609.60
  4. Step 4: Simplify right side
    13,006.40x = 109,400,663.04
  5. Step 5: Solve for x
    x = 109,400,663.04/13,006.40
  6. Step 6: Final answer
    x = 8,411.29

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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.