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Finding the Fourth Proportional to 13,057.40, 19,586.10 and 6,496.40

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Solution

The fourth proportional to 13,057.40, 19,586.10 and 6,496.40 is: 9,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.40 : 19,586.10 = 6,496.40 : x
  2. Step 2: Convert to fraction form
    13,057.40/19,586.10 = 6,496.40/x
  3. Step 3: Cross multiply
    13,057.40x = 19,586.10 × 6,496.40
  4. Step 4: Simplify right side
    13,057.40x = 127,239,140.04
  5. Step 5: Solve for x
    x = 127,239,140.04/13,057.40
  6. Step 6: Final answer
    x = 9,744.60

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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.