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Finding the Fourth Proportional to 10,083.66, 13,915.02 and 5,607.83

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Solution

The fourth proportional to 10,083.66, 13,915.02 and 5,607.83 is: 7,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.66 : 13,915.02 = 5,607.83 : x
  2. Step 2: Convert to fraction form
    10,083.66/13,915.02 = 5,607.83/x
  3. Step 3: Cross multiply
    10,083.66x = 13,915.02 × 5,607.83
  4. Step 4: Simplify right side
    10,083.66x = 78,033,075.11
  5. Step 5: Solve for x
    x = 78,033,075.11/10,083.66
  6. Step 6: Final answer
    x = 7,738.56

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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.