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Finding the Fourth Proportional to 7,035.84, 9,709.89 and 4,051.62

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Solution

The fourth proportional to 7,035.84, 9,709.89 and 4,051.62 is: 5,591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.84 : 9,709.89 = 4,051.62 : x
  2. Step 2: Convert to fraction form
    7,035.84/9,709.89 = 4,051.62/x
  3. Step 3: Cross multiply
    7,035.84x = 9,709.89 × 4,051.62
  4. Step 4: Simplify right side
    7,035.84x = 39,340,784.52
  5. Step 5: Solve for x
    x = 39,340,784.52/7,035.84
  6. Step 6: Final answer
    x = 5,591.48

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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.