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Finding the Fourth Proportional to 9,477.92, 14,205 and 7,294.88

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Solution

The fourth proportional to 9,477.92, 14,205 and 7,294.88 is: 10,933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.92 : 14,205 = 7,294.88 : x
  2. Step 2: Convert to fraction form
    9,477.92/14,205 = 7,294.88/x
  3. Step 3: Cross multiply
    9,477.92x = 14,205 × 7,294.88
  4. Step 4: Simplify right side
    9,477.92x = 103,623,770.40
  5. Step 5: Solve for x
    x = 103,623,770.40/9,477.92
  6. Step 6: Final answer
    x = 10,933.18

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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.