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Finding the Fourth Proportional to 9,600.30, 14,385.84 and 7,123.50

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Solution

The fourth proportional to 9,600.30, 14,385.84 and 7,123.50 is: 10,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.30 : 14,385.84 = 7,123.50 : x
  2. Step 2: Convert to fraction form
    9,600.30/14,385.84 = 7,123.50/x
  3. Step 3: Cross multiply
    9,600.30x = 14,385.84 × 7,123.50
  4. Step 4: Simplify right side
    9,600.30x = 102,477,531.24
  5. Step 5: Solve for x
    x = 102,477,531.24/9,600.30
  6. Step 6: Final answer
    x = 10,674.41

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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.