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Finding the Fourth Proportional to 6,938.64, 9,575.32 and 3,954.48

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Solution

The fourth proportional to 6,938.64, 9,575.32 and 3,954.48 is: 5,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.64 : 9,575.32 = 3,954.48 : x
  2. Step 2: Convert to fraction form
    6,938.64/9,575.32 = 3,954.48/x
  3. Step 3: Cross multiply
    6,938.64x = 9,575.32 × 3,954.48
  4. Step 4: Simplify right side
    6,938.64x = 37,865,411.43
  5. Step 5: Solve for x
    x = 37,865,411.43/6,938.64
  6. Step 6: Final answer
    x = 5,457.18

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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.