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Finding the Fourth Proportional to 11,339.84, 17,012.10 and 4,762.16

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Solution

The fourth proportional to 11,339.84, 17,012.10 and 4,762.16 is: 7,144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.84 : 17,012.10 = 4,762.16 : x
  2. Step 2: Convert to fraction form
    11,339.84/17,012.10 = 4,762.16/x
  3. Step 3: Cross multiply
    11,339.84x = 17,012.10 × 4,762.16
  4. Step 4: Simplify right side
    11,339.84x = 81,014,342.14
  5. Step 5: Solve for x
    x = 81,014,342.14/11,339.84
  6. Step 6: Final answer
    x = 7,144.22

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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.