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Finding the Fourth Proportional to 4,973.88, 7,462.09 and 1,854.07

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Solution

The fourth proportional to 4,973.88, 7,462.09 and 1,854.07 is: 2,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.88 : 7,462.09 = 1,854.07 : x
  2. Step 2: Convert to fraction form
    4,973.88/7,462.09 = 1,854.07/x
  3. Step 3: Cross multiply
    4,973.88x = 7,462.09 × 1,854.07
  4. Step 4: Simplify right side
    4,973.88x = 13,835,237.21
  5. Step 5: Solve for x
    x = 13,835,237.21/4,973.88
  6. Step 6: Final answer
    x = 2,781.58

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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.