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Finding the Fourth Proportional to 4,710, 6,499.80 and 2,614.32

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Solution

The fourth proportional to 4,710, 6,499.80 and 2,614.32 is: 3,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710 : 6,499.80 = 2,614.32 : x
  2. Step 2: Convert to fraction form
    4,710/6,499.80 = 2,614.32/x
  3. Step 3: Cross multiply
    4,710x = 6,499.80 × 2,614.32
  4. Step 4: Simplify right side
    4,710x = 16,992,557.14
  5. Step 5: Solve for x
    x = 16,992,557.14/4,710
  6. Step 6: Final answer
    x = 3,607.76

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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.