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Finding the Fourth Proportional to 10,459.98, 14,435.42 and 6,917.04

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Solution

The fourth proportional to 10,459.98, 14,435.42 and 6,917.04 is: 9,545.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.98 : 14,435.42 = 6,917.04 : x
  2. Step 2: Convert to fraction form
    10,459.98/14,435.42 = 6,917.04/x
  3. Step 3: Cross multiply
    10,459.98x = 14,435.42 × 6,917.04
  4. Step 4: Simplify right side
    10,459.98x = 99,850,342.97
  5. Step 5: Solve for x
    x = 99,850,342.97/10,459.98
  6. Step 6: Final answer
    x = 9,545.94

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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.