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Finding the Fourth Proportional to 4,698.94, 7,049.58 and 1,412.10

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Solution

The fourth proportional to 4,698.94, 7,049.58 and 1,412.10 is: 2,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.94 : 7,049.58 = 1,412.10 : x
  2. Step 2: Convert to fraction form
    4,698.94/7,049.58 = 1,412.10/x
  3. Step 3: Cross multiply
    4,698.94x = 7,049.58 × 1,412.10
  4. Step 4: Simplify right side
    4,698.94x = 9,954,711.92
  5. Step 5: Solve for x
    x = 9,954,711.92/4,698.94
  6. Step 6: Final answer
    x = 2,118.50

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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.