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Finding the Fourth Proportional to 12,883.86, 17,798.13 and 10,075.86

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Solution

The fourth proportional to 12,883.86, 17,798.13 and 10,075.86 is: 13,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.86 : 17,798.13 = 10,075.86 : x
  2. Step 2: Convert to fraction form
    12,883.86/17,798.13 = 10,075.86/x
  3. Step 3: Cross multiply
    12,883.86x = 17,798.13 × 10,075.86
  4. Step 4: Simplify right side
    12,883.86x = 179,331,466.14
  5. Step 5: Solve for x
    x = 179,331,466.14/12,883.86
  6. Step 6: Final answer
    x = 13,919.08

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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.