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Finding the Fourth Proportional to 6,536.40, 9,798.20 and 5,845.20

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Solution

The fourth proportional to 6,536.40, 9,798.20 and 5,845.20 is: 8,762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.40 : 9,798.20 = 5,845.20 : x
  2. Step 2: Convert to fraction form
    6,536.40/9,798.20 = 5,845.20/x
  3. Step 3: Cross multiply
    6,536.40x = 9,798.20 × 5,845.20
  4. Step 4: Simplify right side
    6,536.40x = 57,272,438.64
  5. Step 5: Solve for x
    x = 57,272,438.64/6,536.40
  6. Step 6: Final answer
    x = 8,762.08

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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.