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Finding the Fourth Proportional to 16,465.68, 24,698.52 and 6,075

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Solution

The fourth proportional to 16,465.68, 24,698.52 and 6,075 is: 9,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.68 : 24,698.52 = 6,075 : x
  2. Step 2: Convert to fraction form
    16,465.68/24,698.52 = 6,075/x
  3. Step 3: Cross multiply
    16,465.68x = 24,698.52 × 6,075
  4. Step 4: Simplify right side
    16,465.68x = 150,043,509
  5. Step 5: Solve for x
    x = 150,043,509/16,465.68
  6. Step 6: Final answer
    x = 9,112.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.