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Finding the Fourth Proportional to 9,642.92, 14,460.48 and 6,523.83

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Solution

The fourth proportional to 9,642.92, 14,460.48 and 6,523.83 is: 9,783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.92 : 14,460.48 = 6,523.83 : x
  2. Step 2: Convert to fraction form
    9,642.92/14,460.48 = 6,523.83/x
  3. Step 3: Cross multiply
    9,642.92x = 14,460.48 × 6,523.83
  4. Step 4: Simplify right side
    9,642.92x = 94,337,713.24
  5. Step 5: Solve for x
    x = 94,337,713.24/9,642.92
  6. Step 6: Final answer
    x = 9,783.11

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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.