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Finding the Fourth Proportional to 4,535.86, 6,803.79 and 1,574.50

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Solution

The fourth proportional to 4,535.86, 6,803.79 and 1,574.50 is: 2,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.86 : 6,803.79 = 1,574.50 : x
  2. Step 2: Convert to fraction form
    4,535.86/6,803.79 = 1,574.50/x
  3. Step 3: Cross multiply
    4,535.86x = 6,803.79 × 1,574.50
  4. Step 4: Simplify right side
    4,535.86x = 10,712,567.36
  5. Step 5: Solve for x
    x = 10,712,567.36/4,535.86
  6. Step 6: Final answer
    x = 2,361.75

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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.