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Finding the Fourth Proportional to 6,848.34, 9,466.65 and 6,109.62

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Solution

The fourth proportional to 6,848.34, 9,466.65 and 6,109.62 is: 8,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.34 : 9,466.65 = 6,109.62 : x
  2. Step 2: Convert to fraction form
    6,848.34/9,466.65 = 6,109.62/x
  3. Step 3: Cross multiply
    6,848.34x = 9,466.65 × 6,109.62
  4. Step 4: Simplify right side
    6,848.34x = 57,837,634.17
  5. Step 5: Solve for x
    x = 57,837,634.17/6,848.34
  6. Step 6: Final answer
    x = 8,445.50

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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.