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Finding the Fourth Proportional to 10,507.73, 14,496.08 and 6,918.06

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Solution

The fourth proportional to 10,507.73, 14,496.08 and 6,918.06 is: 9,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.73 : 14,496.08 = 6,918.06 : x
  2. Step 2: Convert to fraction form
    10,507.73/14,496.08 = 6,918.06/x
  3. Step 3: Cross multiply
    10,507.73x = 14,496.08 × 6,918.06
  4. Step 4: Simplify right side
    10,507.73x = 100,284,716.61
  5. Step 5: Solve for x
    x = 100,284,716.61/10,507.73
  6. Step 6: Final answer
    x = 9,543.90

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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.