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Finding the Fourth Proportional to 11,762.15, 17,638.04 and 5,523.93

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Solution

The fourth proportional to 11,762.15, 17,638.04 and 5,523.93 is: 8,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.15 : 17,638.04 = 5,523.93 : x
  2. Step 2: Convert to fraction form
    11,762.15/17,638.04 = 5,523.93/x
  3. Step 3: Cross multiply
    11,762.15x = 17,638.04 × 5,523.93
  4. Step 4: Simplify right side
    11,762.15x = 97,431,312.11
  5. Step 5: Solve for x
    x = 97,431,312.11/11,762.15
  6. Step 6: Final answer
    x = 8,283.46

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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.