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Finding the Fourth Proportional to 11,648.94, 17,462.92 and 4,248.16

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Solution

The fourth proportional to 11,648.94, 17,462.92 and 4,248.16 is: 6,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.94 : 17,462.92 = 4,248.16 : x
  2. Step 2: Convert to fraction form
    11,648.94/17,462.92 = 4,248.16/x
  3. Step 3: Cross multiply
    11,648.94x = 17,462.92 × 4,248.16
  4. Step 4: Simplify right side
    11,648.94x = 74,185,278.23
  5. Step 5: Solve for x
    x = 74,185,278.23/11,648.94
  6. Step 6: Final answer
    x = 6,368.41

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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.