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Finding the Fourth Proportional to 10,842.75, 14,955.30 and 6,859.98

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Solution

The fourth proportional to 10,842.75, 14,955.30 and 6,859.98 is: 9,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.75 : 14,955.30 = 6,859.98 : x
  2. Step 2: Convert to fraction form
    10,842.75/14,955.30 = 6,859.98/x
  3. Step 3: Cross multiply
    10,842.75x = 14,955.30 × 6,859.98
  4. Step 4: Simplify right side
    10,842.75x = 102,593,058.89
  5. Step 5: Solve for x
    x = 102,593,058.89/10,842.75
  6. Step 6: Final answer
    x = 9,461.90

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1.5x scale

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.