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Finding the Fourth Proportional to 9,410.24, 12,973.98 and 6,047.12

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Solution

The fourth proportional to 9,410.24, 12,973.98 and 6,047.12 is: 8,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.24 : 12,973.98 = 6,047.12 : x
  2. Step 2: Convert to fraction form
    9,410.24/12,973.98 = 6,047.12/x
  3. Step 3: Cross multiply
    9,410.24x = 12,973.98 × 6,047.12
  4. Step 4: Simplify right side
    9,410.24x = 78,455,213.94
  5. Step 5: Solve for x
    x = 78,455,213.94/9,410.24
  6. Step 6: Final answer
    x = 8,337.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.