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Finding the Fourth Proportional to 6,359.06, 9,534.93 and 5,992.13

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Solution

The fourth proportional to 6,359.06, 9,534.93 and 5,992.13 is: 8,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.06 : 9,534.93 = 5,992.13 : x
  2. Step 2: Convert to fraction form
    6,359.06/9,534.93 = 5,992.13/x
  3. Step 3: Cross multiply
    6,359.06x = 9,534.93 × 5,992.13
  4. Step 4: Simplify right side
    6,359.06x = 57,134,492.43
  5. Step 5: Solve for x
    x = 57,134,492.43/6,359.06
  6. Step 6: Final answer
    x = 8,984.75

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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.