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Finding the Fourth Proportional to 6,681.59, 10,022.38 and 4,599.50

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Solution

The fourth proportional to 6,681.59, 10,022.38 and 4,599.50 is: 6,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.59 : 10,022.38 = 4,599.50 : x
  2. Step 2: Convert to fraction form
    6,681.59/10,022.38 = 4,599.50/x
  3. Step 3: Cross multiply
    6,681.59x = 10,022.38 × 4,599.50
  4. Step 4: Simplify right side
    6,681.59x = 46,097,886.70
  5. Step 5: Solve for x
    x = 46,097,886.70/6,681.59
  6. Step 6: Final answer
    x = 6,899.24

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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.