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Finding the Fourth Proportional to 35,497.60, 53,246.40 and 13,609.60

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Solution

The fourth proportional to 35,497.60, 53,246.40 and 13,609.60 is: 20,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,497.60 : 53,246.40 = 13,609.60 : x
  2. Step 2: Convert to fraction form
    35,497.60/53,246.40 = 13,609.60/x
  3. Step 3: Cross multiply
    35,497.60x = 53,246.40 × 13,609.60
  4. Step 4: Simplify right side
    35,497.60x = 724,662,205.44
  5. Step 5: Solve for x
    x = 724,662,205.44/35,497.60
  6. Step 6: Final answer
    x = 20,414.40

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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.