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Finding the Fourth Proportional to 7,035.84, 9,709.97 and 4,052.43

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Solution

The fourth proportional to 7,035.84, 9,709.97 and 4,052.43 is: 5,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.84 : 9,709.97 = 4,052.43 : x
  2. Step 2: Convert to fraction form
    7,035.84/9,709.97 = 4,052.43/x
  3. Step 3: Cross multiply
    7,035.84x = 9,709.97 × 4,052.43
  4. Step 4: Simplify right side
    7,035.84x = 39,348,953.46
  5. Step 5: Solve for x
    x = 39,348,953.46/7,035.84
  6. Step 6: Final answer
    x = 5,592.64

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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.