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Finding the Fourth Proportional to 6,495, 8,963.52 and 3,700.50

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Solution

The fourth proportional to 6,495, 8,963.52 and 3,700.50 is: 5,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495 : 8,963.52 = 3,700.50 : x
  2. Step 2: Convert to fraction form
    6,495/8,963.52 = 3,700.50/x
  3. Step 3: Cross multiply
    6,495x = 8,963.52 × 3,700.50
  4. Step 4: Simplify right side
    6,495x = 33,169,505.76
  5. Step 5: Solve for x
    x = 33,169,505.76/6,495
  6. Step 6: Final answer
    x = 5,106.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.