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Finding the Fourth Proportional to 10,820.84, 14,934.06 and 6,346.31

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Solution

The fourth proportional to 10,820.84, 14,934.06 and 6,346.31 is: 8,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.84 : 14,934.06 = 6,346.31 : x
  2. Step 2: Convert to fraction form
    10,820.84/14,934.06 = 6,346.31/x
  3. Step 3: Cross multiply
    10,820.84x = 14,934.06 × 6,346.31
  4. Step 4: Simplify right side
    10,820.84x = 94,776,099.65
  5. Step 5: Solve for x
    x = 94,776,099.65/10,820.84
  6. Step 6: Final answer
    x = 8,758.67

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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.