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Finding the Fourth Proportional to 9,848.66, 14,773.62 and 6,878.12

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Solution

The fourth proportional to 9,848.66, 14,773.62 and 6,878.12 is: 10,317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.66 : 14,773.62 = 6,878.12 : x
  2. Step 2: Convert to fraction form
    9,848.66/14,773.62 = 6,878.12/x
  3. Step 3: Cross multiply
    9,848.66x = 14,773.62 × 6,878.12
  4. Step 4: Simplify right side
    9,848.66x = 101,614,731.19
  5. Step 5: Solve for x
    x = 101,614,731.19/9,848.66
  6. Step 6: Final answer
    x = 10,317.62

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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.