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Finding the Fourth Proportional to 8,984.71, 13,464.70 and 4,592.98

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Solution

The fourth proportional to 8,984.71, 13,464.70 and 4,592.98 is: 6,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.71 : 13,464.70 = 4,592.98 : x
  2. Step 2: Convert to fraction form
    8,984.71/13,464.70 = 4,592.98/x
  3. Step 3: Cross multiply
    8,984.71x = 13,464.70 × 4,592.98
  4. Step 4: Simplify right side
    8,984.71x = 61,843,097.81
  5. Step 5: Solve for x
    x = 61,843,097.81/8,984.71
  6. Step 6: Final answer
    x = 6,883.15

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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.