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Finding the Fourth Proportional to 6,551, 9,840.05 and 5,303.06

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Solution

The fourth proportional to 6,551, 9,840.05 and 5,303.06 is: 7,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551 : 9,840.05 = 5,303.06 : x
  2. Step 2: Convert to fraction form
    6,551/9,840.05 = 5,303.06/x
  3. Step 3: Cross multiply
    6,551x = 9,840.05 × 5,303.06
  4. Step 4: Simplify right side
    6,551x = 52,182,375.55
  5. Step 5: Solve for x
    x = 52,182,375.55/6,551
  6. Step 6: Final answer
    x = 7,965.56

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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.