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Finding the Fourth Proportional to 10,476, 15,693.06 and 6,313.80

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Solution

The fourth proportional to 10,476, 15,693.06 and 6,313.80 is: 9,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476 : 15,693.06 = 6,313.80 : x
  2. Step 2: Convert to fraction form
    10,476/15,693.06 = 6,313.80/x
  3. Step 3: Cross multiply
    10,476x = 15,693.06 × 6,313.80
  4. Step 4: Simplify right side
    10,476x = 99,082,842.23
  5. Step 5: Solve for x
    x = 99,082,842.23/10,476
  6. Step 6: Final answer
    x = 9,458.08

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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.