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Finding the Fourth Proportional to 4,969.96, 7,458.58 and 4,007.68

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Solution

The fourth proportional to 4,969.96, 7,458.58 and 4,007.68 is: 6,014.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.96 : 7,458.58 = 4,007.68 : x
  2. Step 2: Convert to fraction form
    4,969.96/7,458.58 = 4,007.68/x
  3. Step 3: Cross multiply
    4,969.96x = 7,458.58 × 4,007.68
  4. Step 4: Simplify right side
    4,969.96x = 29,891,588.26
  5. Step 5: Solve for x
    x = 29,891,588.26/4,969.96
  6. Step 6: Final answer
    x = 6,014.46

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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.