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Finding the Fourth Proportional to 12,075.44, 16,662.47 and 6,971.13

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Solution

The fourth proportional to 12,075.44, 16,662.47 and 6,971.13 is: 9,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.44 : 16,662.47 = 6,971.13 : x
  2. Step 2: Convert to fraction form
    12,075.44/16,662.47 = 6,971.13/x
  3. Step 3: Cross multiply
    12,075.44x = 16,662.47 × 6,971.13
  4. Step 4: Simplify right side
    12,075.44x = 116,156,209.64
  5. Step 5: Solve for x
    x = 116,156,209.64/12,075.44
  6. Step 6: Final answer
    x = 9,619.22

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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.