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Finding the Fourth Proportional to 8,302.84, 11,459.62 and 4,947.62

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Solution

The fourth proportional to 8,302.84, 11,459.62 and 4,947.62 is: 6,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.84 : 11,459.62 = 4,947.62 : x
  2. Step 2: Convert to fraction form
    8,302.84/11,459.62 = 4,947.62/x
  3. Step 3: Cross multiply
    8,302.84x = 11,459.62 × 4,947.62
  4. Step 4: Simplify right side
    8,302.84x = 56,697,845.10
  5. Step 5: Solve for x
    x = 56,697,845.10/8,302.84
  6. Step 6: Final answer
    x = 6,828.73

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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.