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Finding the Fourth Proportional to 6,484.86, 9,730.46 and 4,019.02

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Solution

The fourth proportional to 6,484.86, 9,730.46 and 4,019.02 is: 6,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.86 : 9,730.46 = 4,019.02 : x
  2. Step 2: Convert to fraction form
    6,484.86/9,730.46 = 4,019.02/x
  3. Step 3: Cross multiply
    6,484.86x = 9,730.46 × 4,019.02
  4. Step 4: Simplify right side
    6,484.86x = 39,106,899.07
  5. Step 5: Solve for x
    x = 39,106,899.07/6,484.86
  6. Step 6: Final answer
    x = 6,030.49

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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.