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Finding the Fourth Proportional to 13,409.40, 20,114.10 and 7,865.40

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Solution

The fourth proportional to 13,409.40, 20,114.10 and 7,865.40 is: 11,798.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.40 : 20,114.10 = 7,865.40 : x
  2. Step 2: Convert to fraction form
    13,409.40/20,114.10 = 7,865.40/x
  3. Step 3: Cross multiply
    13,409.40x = 20,114.10 × 7,865.40
  4. Step 4: Simplify right side
    13,409.40x = 158,205,442.14
  5. Step 5: Solve for x
    x = 158,205,442.14/13,409.40
  6. Step 6: Final answer
    x = 11,798.10

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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.