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Finding the Fourth Proportional to 7,204.68, 9,942.95 and 4,551.93

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Solution

The fourth proportional to 7,204.68, 9,942.95 and 4,551.93 is: 6,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.68 : 9,942.95 = 4,551.93 : x
  2. Step 2: Convert to fraction form
    7,204.68/9,942.95 = 4,551.93/x
  3. Step 3: Cross multiply
    7,204.68x = 9,942.95 × 4,551.93
  4. Step 4: Simplify right side
    7,204.68x = 45,259,623.77
  5. Step 5: Solve for x
    x = 45,259,623.77/7,204.68
  6. Step 6: Final answer
    x = 6,281.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.