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Finding the Fourth Proportional to 9,358.02, 12,914.94 and 6,996.06

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Solution

The fourth proportional to 9,358.02, 12,914.94 and 6,996.06 is: 9,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.02 : 12,914.94 = 6,996.06 : x
  2. Step 2: Convert to fraction form
    9,358.02/12,914.94 = 6,996.06/x
  3. Step 3: Cross multiply
    9,358.02x = 12,914.94 × 6,996.06
  4. Step 4: Simplify right side
    9,358.02x = 90,353,695.14
  5. Step 5: Solve for x
    x = 90,353,695.14/9,358.02
  6. Step 6: Final answer
    x = 9,655.22

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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.