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Finding the Fourth Proportional to 4,681.72, 7,023.70 and 1,561.64

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Solution

The fourth proportional to 4,681.72, 7,023.70 and 1,561.64 is: 2,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.72 : 7,023.70 = 1,561.64 : x
  2. Step 2: Convert to fraction form
    4,681.72/7,023.70 = 1,561.64/x
  3. Step 3: Cross multiply
    4,681.72x = 7,023.70 × 1,561.64
  4. Step 4: Simplify right side
    4,681.72x = 10,968,490.87
  5. Step 5: Solve for x
    x = 10,968,490.87/4,681.72
  6. Step 6: Final answer
    x = 2,342.83

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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.