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Finding the Fourth Proportional to 9,992.70, 14,970.60 and 5,834.70

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Solution

The fourth proportional to 9,992.70, 14,970.60 and 5,834.70 is: 8,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.70 : 14,970.60 = 5,834.70 : x
  2. Step 2: Convert to fraction form
    9,992.70/14,970.60 = 5,834.70/x
  3. Step 3: Cross multiply
    9,992.70x = 14,970.60 × 5,834.70
  4. Step 4: Simplify right side
    9,992.70x = 87,348,959.82
  5. Step 5: Solve for x
    x = 87,348,959.82/9,992.70
  6. Step 6: Final answer
    x = 8,741.28

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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.