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Finding the Fourth Proportional to 10,728.63, 14,808.75 and 6,952

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Solution

The fourth proportional to 10,728.63, 14,808.75 and 6,952 is: 9,595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.63 : 14,808.75 = 6,952 : x
  2. Step 2: Convert to fraction form
    10,728.63/14,808.75 = 6,952/x
  3. Step 3: Cross multiply
    10,728.63x = 14,808.75 × 6,952
  4. Step 4: Simplify right side
    10,728.63x = 102,950,430
  5. Step 5: Solve for x
    x = 102,950,430/10,728.63
  6. Step 6: Final answer
    x = 9,595.86

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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.