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Finding the Fourth Proportional to 6,307.56, 8,641.40 and 6,071.09

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Solution

The fourth proportional to 6,307.56, 8,641.40 and 6,071.09 is: 8,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.56 : 8,641.40 = 6,071.09 : x
  2. Step 2: Convert to fraction form
    6,307.56/8,641.40 = 6,071.09/x
  3. Step 3: Cross multiply
    6,307.56x = 8,641.40 × 6,071.09
  4. Step 4: Simplify right side
    6,307.56x = 52,462,721.50
  5. Step 5: Solve for x
    x = 52,462,721.50/6,307.56
  6. Step 6: Final answer
    x = 8,317.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.