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Finding the Fourth Proportional to 10,673.70, 14,735.07 and 7,322.70

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Solution

The fourth proportional to 10,673.70, 14,735.07 and 7,322.70 is: 10,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.70 : 14,735.07 = 7,322.70 : x
  2. Step 2: Convert to fraction form
    10,673.70/14,735.07 = 7,322.70/x
  3. Step 3: Cross multiply
    10,673.70x = 14,735.07 × 7,322.70
  4. Step 4: Simplify right side
    10,673.70x = 107,900,497.09
  5. Step 5: Solve for x
    x = 107,900,497.09/10,673.70
  6. Step 6: Final answer
    x = 10,109.01

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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.