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Finding the Fourth Proportional to 4,698.14, 7,045.14 and 1,410.45

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Solution

The fourth proportional to 4,698.14, 7,045.14 and 1,410.45 is: 2,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.14 : 7,045.14 = 1,410.45 : x
  2. Step 2: Convert to fraction form
    4,698.14/7,045.14 = 1,410.45/x
  3. Step 3: Cross multiply
    4,698.14x = 7,045.14 × 1,410.45
  4. Step 4: Simplify right side
    4,698.14x = 9,936,796.58
  5. Step 5: Solve for x
    x = 9,936,796.58/4,698.14
  6. Step 6: Final answer
    x = 2,115.05

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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.