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Finding the Fourth Proportional to 10,762.76, 16,144.14 and 2,971.58

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Solution

The fourth proportional to 10,762.76, 16,144.14 and 2,971.58 is: 4,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.76 : 16,144.14 = 2,971.58 : x
  2. Step 2: Convert to fraction form
    10,762.76/16,144.14 = 2,971.58/x
  3. Step 3: Cross multiply
    10,762.76x = 16,144.14 × 2,971.58
  4. Step 4: Simplify right side
    10,762.76x = 47,973,603.54
  5. Step 5: Solve for x
    x = 47,973,603.54/10,762.76
  6. Step 6: Final answer
    x = 4,457.37

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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.