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Finding the Fourth Proportional to 6,349.14, 9,503.01 and 5,742.90

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Solution

The fourth proportional to 6,349.14, 9,503.01 and 5,742.90 is: 8,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.14 : 9,503.01 = 5,742.90 : x
  2. Step 2: Convert to fraction form
    6,349.14/9,503.01 = 5,742.90/x
  3. Step 3: Cross multiply
    6,349.14x = 9,503.01 × 5,742.90
  4. Step 4: Simplify right side
    6,349.14x = 54,574,836.13
  5. Step 5: Solve for x
    x = 54,574,836.13/6,349.14
  6. Step 6: Final answer
    x = 8,595.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.