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Finding the Fourth Proportional to 9,817.70, 14,730.60 and 9,042.20

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Solution

The fourth proportional to 9,817.70, 14,730.60 and 9,042.20 is: 13,567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.70 : 14,730.60 = 9,042.20 : x
  2. Step 2: Convert to fraction form
    9,817.70/14,730.60 = 9,042.20/x
  3. Step 3: Cross multiply
    9,817.70x = 14,730.60 × 9,042.20
  4. Step 4: Simplify right side
    9,817.70x = 133,197,031.32
  5. Step 5: Solve for x
    x = 133,197,031.32/9,817.70
  6. Step 6: Final answer
    x = 13,567.03

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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.