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Finding the Fourth Proportional to 9,730.20, 14,573.70 and 8,002.20

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Solution

The fourth proportional to 9,730.20, 14,573.70 and 8,002.20 is: 11,985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.20 : 14,573.70 = 8,002.20 : x
  2. Step 2: Convert to fraction form
    9,730.20/14,573.70 = 8,002.20/x
  3. Step 3: Cross multiply
    9,730.20x = 14,573.70 × 8,002.20
  4. Step 4: Simplify right side
    9,730.20x = 116,621,662.14
  5. Step 5: Solve for x
    x = 116,621,662.14/9,730.20
  6. Step 6: Final answer
    x = 11,985.54

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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.