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Finding the Fourth Proportional to 30,662.90, 45,977 and 10,663.20

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Solution

The fourth proportional to 30,662.90, 45,977 and 10,663.20 is: 15,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,662.90 : 45,977 = 10,663.20 : x
  2. Step 2: Convert to fraction form
    30,662.90/45,977 = 10,663.20/x
  3. Step 3: Cross multiply
    30,662.90x = 45,977 × 10,663.20
  4. Step 4: Simplify right side
    30,662.90x = 490,261,946.40
  5. Step 5: Solve for x
    x = 490,261,946.40/30,662.90
  6. Step 6: Final answer
    x = 15,988.77

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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.