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Finding the Fourth Proportional to 10,361.74, 14,294.64 and 7,003.34

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Solution

The fourth proportional to 10,361.74, 14,294.64 and 7,003.34 is: 9,661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.74 : 14,294.64 = 7,003.34 : x
  2. Step 2: Convert to fraction form
    10,361.74/14,294.64 = 7,003.34/x
  3. Step 3: Cross multiply
    10,361.74x = 14,294.64 × 7,003.34
  4. Step 4: Simplify right side
    10,361.74x = 100,110,224.10
  5. Step 5: Solve for x
    x = 100,110,224.10/10,361.74
  6. Step 6: Final answer
    x = 9,661.53

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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.