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Finding the Fourth Proportional to 6,928.38, 9,553.95 and 4,567.50

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Solution

The fourth proportional to 6,928.38, 9,553.95 and 4,567.50 is: 6,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.38 : 9,553.95 = 4,567.50 : x
  2. Step 2: Convert to fraction form
    6,928.38/9,553.95 = 4,567.50/x
  3. Step 3: Cross multiply
    6,928.38x = 9,553.95 × 4,567.50
  4. Step 4: Simplify right side
    6,928.38x = 43,637,666.63
  5. Step 5: Solve for x
    x = 43,637,666.63/6,928.38
  6. Step 6: Final answer
    x = 6,298.39

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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.