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Finding the Fourth Proportional to 6,496.40, 9,744.60 and 6,064.40

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Solution

The fourth proportional to 6,496.40, 9,744.60 and 6,064.40 is: 9,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.40 : 9,744.60 = 6,064.40 : x
  2. Step 2: Convert to fraction form
    6,496.40/9,744.60 = 6,064.40/x
  3. Step 3: Cross multiply
    6,496.40x = 9,744.60 × 6,064.40
  4. Step 4: Simplify right side
    6,496.40x = 59,095,152.24
  5. Step 5: Solve for x
    x = 59,095,152.24/6,496.40
  6. Step 6: Final answer
    x = 9,096.60

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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.