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Finding the Fourth Proportional to 9,762.72, 14,645.16 and 4,216.68

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Solution

The fourth proportional to 9,762.72, 14,645.16 and 4,216.68 is: 6,325.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.72 : 14,645.16 = 4,216.68 : x
  2. Step 2: Convert to fraction form
    9,762.72/14,645.16 = 4,216.68/x
  3. Step 3: Cross multiply
    9,762.72x = 14,645.16 × 4,216.68
  4. Step 4: Simplify right side
    9,762.72x = 61,753,953.27
  5. Step 5: Solve for x
    x = 61,753,953.27/9,762.72
  6. Step 6: Final answer
    x = 6,325.49

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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.