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Finding the Fourth Proportional to 9,967.55, 14,973.60 and 8,327.30

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Solution

The fourth proportional to 9,967.55, 14,973.60 and 8,327.30 is: 12,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.55 : 14,973.60 = 8,327.30 : x
  2. Step 2: Convert to fraction form
    9,967.55/14,973.60 = 8,327.30/x
  3. Step 3: Cross multiply
    9,967.55x = 14,973.60 × 8,327.30
  4. Step 4: Simplify right side
    9,967.55x = 124,689,659.28
  5. Step 5: Solve for x
    x = 124,689,659.28/9,967.55
  6. Step 6: Final answer
    x = 12,509.56

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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.