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Finding the Fourth Proportional to 7,323.84, 11,000.16 and 6,283.44

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Solution

The fourth proportional to 7,323.84, 11,000.16 and 6,283.44 is: 9,437.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,323.84 : 11,000.16 = 6,283.44 : x
  2. Step 2: Convert to fraction form
    7,323.84/11,000.16 = 6,283.44/x
  3. Step 3: Cross multiply
    7,323.84x = 11,000.16 × 6,283.44
  4. Step 4: Simplify right side
    7,323.84x = 69,118,845.35
  5. Step 5: Solve for x
    x = 69,118,845.35/7,323.84
  6. Step 6: Final answer
    x = 9,437.51

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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.