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Finding the Fourth Proportional to 7,000.64, 9,660.48 and 4,205.60

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Solution

The fourth proportional to 7,000.64, 9,660.48 and 4,205.60 is: 5,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.64 : 9,660.48 = 4,205.60 : x
  2. Step 2: Convert to fraction form
    7,000.64/9,660.48 = 4,205.60/x
  3. Step 3: Cross multiply
    7,000.64x = 9,660.48 × 4,205.60
  4. Step 4: Simplify right side
    7,000.64x = 40,628,114.69
  5. Step 5: Solve for x
    x = 40,628,114.69/7,000.64
  6. Step 6: Final answer
    x = 5,803.49

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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.