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Finding the Fourth Proportional to 11,762.64, 17,646.12 and 4,372.20

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Solution

The fourth proportional to 11,762.64, 17,646.12 and 4,372.20 is: 6,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.64 : 17,646.12 = 4,372.20 : x
  2. Step 2: Convert to fraction form
    11,762.64/17,646.12 = 4,372.20/x
  3. Step 3: Cross multiply
    11,762.64x = 17,646.12 × 4,372.20
  4. Step 4: Simplify right side
    11,762.64x = 77,152,365.86
  5. Step 5: Solve for x
    x = 77,152,365.86/11,762.64
  6. Step 6: Final answer
    x = 6,559.10

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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.