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Finding the Fourth Proportional to 6,567.47, 9,829.63 and 4,999.01

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Solution

The fourth proportional to 6,567.47, 9,829.63 and 4,999.01 is: 7,482.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.47 : 9,829.63 = 4,999.01 : x
  2. Step 2: Convert to fraction form
    6,567.47/9,829.63 = 4,999.01/x
  3. Step 3: Cross multiply
    6,567.47x = 9,829.63 × 4,999.01
  4. Step 4: Simplify right side
    6,567.47x = 49,138,357.02
  5. Step 5: Solve for x
    x = 49,138,357.02/6,567.47
  6. Step 6: Final answer
    x = 7,482.09

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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.