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Finding the Fourth Proportional to 12,075.64, 16,662.12 and 7,772.52

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Solution

The fourth proportional to 12,075.64, 16,662.12 and 7,772.52 is: 10,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.64 : 16,662.12 = 7,772.52 : x
  2. Step 2: Convert to fraction form
    12,075.64/16,662.12 = 7,772.52/x
  3. Step 3: Cross multiply
    12,075.64x = 16,662.12 × 7,772.52
  4. Step 4: Simplify right side
    12,075.64x = 129,506,660.94
  5. Step 5: Solve for x
    x = 129,506,660.94/12,075.64
  6. Step 6: Final answer
    x = 10,724.62

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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.