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Finding the Fourth Proportional to 7,224.15, 9,964.19 and 4,701.63

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Solution

The fourth proportional to 7,224.15, 9,964.19 and 4,701.63 is: 6,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.15 : 9,964.19 = 4,701.63 : x
  2. Step 2: Convert to fraction form
    7,224.15/9,964.19 = 4,701.63/x
  3. Step 3: Cross multiply
    7,224.15x = 9,964.19 × 4,701.63
  4. Step 4: Simplify right side
    7,224.15x = 46,847,911.12
  5. Step 5: Solve for x
    x = 46,847,911.12/7,224.15
  6. Step 6: Final answer
    x = 6,484.90

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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.