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Finding the Fourth Proportional to 6,537.51, 9,012.54 and 4,648.39

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Solution

The fourth proportional to 6,537.51, 9,012.54 and 4,648.39 is: 6,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.51 : 9,012.54 = 4,648.39 : x
  2. Step 2: Convert to fraction form
    6,537.51/9,012.54 = 4,648.39/x
  3. Step 3: Cross multiply
    6,537.51x = 9,012.54 × 4,648.39
  4. Step 4: Simplify right side
    6,537.51x = 41,893,829.51
  5. Step 5: Solve for x
    x = 41,893,829.51/6,537.51
  6. Step 6: Final answer
    x = 6,408.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.