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Finding the Fourth Proportional to 15,077.14, 20,807.69 and 8,364.93

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Solution

The fourth proportional to 15,077.14, 20,807.69 and 8,364.93 is: 11,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077.14 : 20,807.69 = 8,364.93 : x
  2. Step 2: Convert to fraction form
    15,077.14/20,807.69 = 8,364.93/x
  3. Step 3: Cross multiply
    15,077.14x = 20,807.69 × 8,364.93
  4. Step 4: Simplify right side
    15,077.14x = 174,054,870.31
  5. Step 5: Solve for x
    x = 174,054,870.31/15,077.14
  6. Step 6: Final answer
    x = 11,544.29

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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.