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Finding the Fourth Proportional to 6,358.30, 9,536.43 and 1,740.22

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Solution

The fourth proportional to 6,358.30, 9,536.43 and 1,740.22 is: 2,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.30 : 9,536.43 = 1,740.22 : x
  2. Step 2: Convert to fraction form
    6,358.30/9,536.43 = 1,740.22/x
  3. Step 3: Cross multiply
    6,358.30x = 9,536.43 × 1,740.22
  4. Step 4: Simplify right side
    6,358.30x = 16,595,486.21
  5. Step 5: Solve for x
    x = 16,595,486.21/6,358.30
  6. Step 6: Final answer
    x = 2,610.05

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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.