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Finding the Fourth Proportional to 35,401.50, 53,102.25 and 10,777.50

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Solution

The fourth proportional to 35,401.50, 53,102.25 and 10,777.50 is: 16,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,401.50 : 53,102.25 = 10,777.50 : x
  2. Step 2: Convert to fraction form
    35,401.50/53,102.25 = 10,777.50/x
  3. Step 3: Cross multiply
    35,401.50x = 53,102.25 × 10,777.50
  4. Step 4: Simplify right side
    35,401.50x = 572,309,499.38
  5. Step 5: Solve for x
    x = 572,309,499.38/35,401.50
  6. Step 6: Final answer
    x = 16,166.25

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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.