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Finding the Fourth Proportional to 10,907.65, 16,361.47 and 3,116.46

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Solution

The fourth proportional to 10,907.65, 16,361.47 and 3,116.46 is: 4,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.65 : 16,361.47 = 3,116.46 : x
  2. Step 2: Convert to fraction form
    10,907.65/16,361.47 = 3,116.46/x
  3. Step 3: Cross multiply
    10,907.65x = 16,361.47 × 3,116.46
  4. Step 4: Simplify right side
    10,907.65x = 50,989,894.80
  5. Step 5: Solve for x
    x = 50,989,894.80/10,907.65
  6. Step 6: Final answer
    x = 4,674.69

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Double scale
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1.5x scale

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.