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Finding the Fourth Proportional to 6,561.44, 9,833.84 and 6,492

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Solution

The fourth proportional to 6,561.44, 9,833.84 and 6,492 is: 9,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.44 : 9,833.84 = 6,492 : x
  2. Step 2: Convert to fraction form
    6,561.44/9,833.84 = 6,492/x
  3. Step 3: Cross multiply
    6,561.44x = 9,833.84 × 6,492
  4. Step 4: Simplify right side
    6,561.44x = 63,841,289.28
  5. Step 5: Solve for x
    x = 63,841,289.28/6,561.44
  6. Step 6: Final answer
    x = 9,729.77

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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.