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Finding the Fourth Proportional to 6,966.54, 10,456.11 and 6,225.03

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Solution

The fourth proportional to 6,966.54, 10,456.11 and 6,225.03 is: 9,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.54 : 10,456.11 = 6,225.03 : x
  2. Step 2: Convert to fraction form
    6,966.54/10,456.11 = 6,225.03/x
  3. Step 3: Cross multiply
    6,966.54x = 10,456.11 × 6,225.03
  4. Step 4: Simplify right side
    6,966.54x = 65,089,598.43
  5. Step 5: Solve for x
    x = 65,089,598.43/6,966.54
  6. Step 6: Final answer
    x = 9,343.17

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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.