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Finding the Fourth Proportional to 6,490.59, 9,742.04 and 4,017.93

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Solution

The fourth proportional to 6,490.59, 9,742.04 and 4,017.93 is: 6,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.59 : 9,742.04 = 4,017.93 : x
  2. Step 2: Convert to fraction form
    6,490.59/9,742.04 = 4,017.93/x
  3. Step 3: Cross multiply
    6,490.59x = 9,742.04 × 4,017.93
  4. Step 4: Simplify right side
    6,490.59x = 39,142,814.69
  5. Step 5: Solve for x
    x = 39,142,814.69/6,490.59
  6. Step 6: Final answer
    x = 6,030.70

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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.