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Finding the Fourth Proportional to 10,059.71, 15,078.62 and 4,209.48

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Solution

The fourth proportional to 10,059.71, 15,078.62 and 4,209.48 is: 6,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.71 : 15,078.62 = 4,209.48 : x
  2. Step 2: Convert to fraction form
    10,059.71/15,078.62 = 4,209.48/x
  3. Step 3: Cross multiply
    10,059.71x = 15,078.62 × 4,209.48
  4. Step 4: Simplify right side
    10,059.71x = 63,473,128.27
  5. Step 5: Solve for x
    x = 63,473,128.27/10,059.71
  6. Step 6: Final answer
    x = 6,309.64

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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.