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Finding the Fourth Proportional to 6,943.90, 9,587.06 and 6,196.58

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Solution

The fourth proportional to 6,943.90, 9,587.06 and 6,196.58 is: 8,555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.90 : 9,587.06 = 6,196.58 : x
  2. Step 2: Convert to fraction form
    6,943.90/9,587.06 = 6,196.58/x
  3. Step 3: Cross multiply
    6,943.90x = 9,587.06 × 6,196.58
  4. Step 4: Simplify right side
    6,943.90x = 59,406,905.34
  5. Step 5: Solve for x
    x = 59,406,905.34/6,943.90
  6. Step 6: Final answer
    x = 8,555.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.