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Finding the Fourth Proportional to 10,772.94, 14,856.62 and 6,992.06

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Solution

The fourth proportional to 10,772.94, 14,856.62 and 6,992.06 is: 9,642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.94 : 14,856.62 = 6,992.06 : x
  2. Step 2: Convert to fraction form
    10,772.94/14,856.62 = 6,992.06/x
  3. Step 3: Cross multiply
    10,772.94x = 14,856.62 × 6,992.06
  4. Step 4: Simplify right side
    10,772.94x = 103,878,378.44
  5. Step 5: Solve for x
    x = 103,878,378.44/10,772.94
  6. Step 6: Final answer
    x = 9,642.53

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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.