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Finding the Fourth Proportional to 10,733.96, 14,813.94 and 7,001.48

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Solution

The fourth proportional to 10,733.96, 14,813.94 and 7,001.48 is: 9,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733.96 : 14,813.94 = 7,001.48 : x
  2. Step 2: Convert to fraction form
    10,733.96/14,813.94 = 7,001.48/x
  3. Step 3: Cross multiply
    10,733.96x = 14,813.94 × 7,001.48
  4. Step 4: Simplify right side
    10,733.96x = 103,719,504.63
  5. Step 5: Solve for x
    x = 103,719,504.63/10,733.96
  6. Step 6: Final answer
    x = 9,662.74

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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.