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Finding the Fourth Proportional to 10,002.90, 15,004.35 and 9,786.90

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Solution

The fourth proportional to 10,002.90, 15,004.35 and 9,786.90 is: 14,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.90 : 15,004.35 = 9,786.90 : x
  2. Step 2: Convert to fraction form
    10,002.90/15,004.35 = 9,786.90/x
  3. Step 3: Cross multiply
    10,002.90x = 15,004.35 × 9,786.90
  4. Step 4: Simplify right side
    10,002.90x = 146,846,073.02
  5. Step 5: Solve for x
    x = 146,846,073.02/10,002.90
  6. Step 6: Final answer
    x = 14,680.35

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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.