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Finding the Fourth Proportional to 10,713, 14,784.48 and 6,521.52

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Solution

The fourth proportional to 10,713, 14,784.48 and 6,521.52 is: 9,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713 : 14,784.48 = 6,521.52 : x
  2. Step 2: Convert to fraction form
    10,713/14,784.48 = 6,521.52/x
  3. Step 3: Cross multiply
    10,713x = 14,784.48 × 6,521.52
  4. Step 4: Simplify right side
    10,713x = 96,417,282.01
  5. Step 5: Solve for x
    x = 96,417,282.01/10,713
  6. Step 6: Final answer
    x = 9,000.03

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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.