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Finding the Fourth Proportional to 11,637.58, 17,461 and 4,242.54

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Solution

The fourth proportional to 11,637.58, 17,461 and 4,242.54 is: 6,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.58 : 17,461 = 4,242.54 : x
  2. Step 2: Convert to fraction form
    11,637.58/17,461 = 4,242.54/x
  3. Step 3: Cross multiply
    11,637.58x = 17,461 × 4,242.54
  4. Step 4: Simplify right side
    11,637.58x = 74,078,990.94
  5. Step 5: Solve for x
    x = 74,078,990.94/11,637.58
  6. Step 6: Final answer
    x = 6,365.50

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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.