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Finding the Fourth Proportional to 10,466.67, 14,444.10 and 5,750.94

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Solution

The fourth proportional to 10,466.67, 14,444.10 and 5,750.94 is: 7,936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.67 : 14,444.10 = 5,750.94 : x
  2. Step 2: Convert to fraction form
    10,466.67/14,444.10 = 5,750.94/x
  3. Step 3: Cross multiply
    10,466.67x = 14,444.10 × 5,750.94
  4. Step 4: Simplify right side
    10,466.67x = 83,067,152.45
  5. Step 5: Solve for x
    x = 83,067,152.45/10,466.67
  6. Step 6: Final answer
    x = 7,936.35

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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.