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Finding the Fourth Proportional to 6,657.54, 9,969.22 and 6,460.45

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Solution

The fourth proportional to 6,657.54, 9,969.22 and 6,460.45 is: 9,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.54 : 9,969.22 = 6,460.45 : x
  2. Step 2: Convert to fraction form
    6,657.54/9,969.22 = 6,460.45/x
  3. Step 3: Cross multiply
    6,657.54x = 9,969.22 × 6,460.45
  4. Step 4: Simplify right side
    6,657.54x = 64,405,647.35
  5. Step 5: Solve for x
    x = 64,405,647.35/6,657.54
  6. Step 6: Final answer
    x = 9,674.09

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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.