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Finding the Fourth Proportional to 7,803.84, 11,697.60 and 3,417.60

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Solution

The fourth proportional to 7,803.84, 11,697.60 and 3,417.60 is: 5,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.84 : 11,697.60 = 3,417.60 : x
  2. Step 2: Convert to fraction form
    7,803.84/11,697.60 = 3,417.60/x
  3. Step 3: Cross multiply
    7,803.84x = 11,697.60 × 3,417.60
  4. Step 4: Simplify right side
    7,803.84x = 39,977,717.76
  5. Step 5: Solve for x
    x = 39,977,717.76/7,803.84
  6. Step 6: Final answer
    x = 5,122.83

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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.