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Finding the Fourth Proportional to 35,309.57, 52,964.30 and 9,014.31

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Solution

The fourth proportional to 35,309.57, 52,964.30 and 9,014.31 is: 13,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,309.57 : 52,964.30 = 9,014.31 : x
  2. Step 2: Convert to fraction form
    35,309.57/52,964.30 = 9,014.31/x
  3. Step 3: Cross multiply
    35,309.57x = 52,964.30 × 9,014.31
  4. Step 4: Simplify right side
    35,309.57x = 477,436,574.06
  5. Step 5: Solve for x
    x = 477,436,574.06/35,309.57
  6. Step 6: Final answer
    x = 13,521.45

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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.