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Finding the Fourth Proportional to 10,843.02, 14,965.82 and 6,130.04

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Solution

The fourth proportional to 10,843.02, 14,965.82 and 6,130.04 is: 8,460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.02 : 14,965.82 = 6,130.04 : x
  2. Step 2: Convert to fraction form
    10,843.02/14,965.82 = 6,130.04/x
  3. Step 3: Cross multiply
    10,843.02x = 14,965.82 × 6,130.04
  4. Step 4: Simplify right side
    10,843.02x = 91,741,075.23
  5. Step 5: Solve for x
    x = 91,741,075.23/10,843.02
  6. Step 6: Final answer
    x = 8,460.84

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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.