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Finding the Fourth Proportional to 34,492.56, 51,737.78 and 9,534.12

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Solution

The fourth proportional to 34,492.56, 51,737.78 and 9,534.12 is: 14,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,492.56 : 51,737.78 = 9,534.12 : x
  2. Step 2: Convert to fraction form
    34,492.56/51,737.78 = 9,534.12/x
  3. Step 3: Cross multiply
    34,492.56x = 51,737.78 × 9,534.12
  4. Step 4: Simplify right side
    34,492.56x = 493,274,203.05
  5. Step 5: Solve for x
    x = 493,274,203.05/34,492.56
  6. Step 6: Final answer
    x = 14,300.89

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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.