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Finding the Fourth Proportional to 6,789.84, 9,365.65 and 4,897.95

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Solution

The fourth proportional to 6,789.84, 9,365.65 and 4,897.95 is: 6,756.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.84 : 9,365.65 = 4,897.95 : x
  2. Step 2: Convert to fraction form
    6,789.84/9,365.65 = 4,897.95/x
  3. Step 3: Cross multiply
    6,789.84x = 9,365.65 × 4,897.95
  4. Step 4: Simplify right side
    6,789.84x = 45,872,485.42
  5. Step 5: Solve for x
    x = 45,872,485.42/6,789.84
  6. Step 6: Final answer
    x = 6,756.05

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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.