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Finding the Fourth Proportional to 10,507.14, 14,505.66 and 7,671.66

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Solution

The fourth proportional to 10,507.14, 14,505.66 and 7,671.66 is: 10,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.14 : 14,505.66 = 7,671.66 : x
  2. Step 2: Convert to fraction form
    10,507.14/14,505.66 = 7,671.66/x
  3. Step 3: Cross multiply
    10,507.14x = 14,505.66 × 7,671.66
  4. Step 4: Simplify right side
    10,507.14x = 111,282,491.60
  5. Step 5: Solve for x
    x = 111,282,491.60/10,507.14
  6. Step 6: Final answer
    x = 10,591.13

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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.