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Finding the Fourth Proportional to 9,801.68, 14,693.04 and 6,281.82

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Solution

The fourth proportional to 9,801.68, 14,693.04 and 6,281.82 is: 9,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.68 : 14,693.04 = 6,281.82 : x
  2. Step 2: Convert to fraction form
    9,801.68/14,693.04 = 6,281.82/x
  3. Step 3: Cross multiply
    9,801.68x = 14,693.04 × 6,281.82
  4. Step 4: Simplify right side
    9,801.68x = 92,299,032.53
  5. Step 5: Solve for x
    x = 92,299,032.53/9,801.68
  6. Step 6: Final answer
    x = 9,416.66

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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.