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Finding the Fourth Proportional to 6,505.71, 9,760.99 and 4,875.99

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Solution

The fourth proportional to 6,505.71, 9,760.99 and 4,875.99 is: 7,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.71 : 9,760.99 = 4,875.99 : x
  2. Step 2: Convert to fraction form
    6,505.71/9,760.99 = 4,875.99/x
  3. Step 3: Cross multiply
    6,505.71x = 9,760.99 × 4,875.99
  4. Step 4: Simplify right side
    6,505.71x = 47,594,489.63
  5. Step 5: Solve for x
    x = 47,594,489.63/6,505.71
  6. Step 6: Final answer
    x = 7,315.80

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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.