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Finding the Fourth Proportional to 6,780.53, 9,347.50 and 4,984.84

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Solution

The fourth proportional to 6,780.53, 9,347.50 and 4,984.84 is: 6,872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.53 : 9,347.50 = 4,984.84 : x
  2. Step 2: Convert to fraction form
    6,780.53/9,347.50 = 4,984.84/x
  3. Step 3: Cross multiply
    6,780.53x = 9,347.50 × 4,984.84
  4. Step 4: Simplify right side
    6,780.53x = 46,595,817.70
  5. Step 5: Solve for x
    x = 46,595,817.70/6,780.53
  6. Step 6: Final answer
    x = 6,872.00

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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.