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Finding the Fourth Proportional to 10,280.66, 14,187.56 and 5,804.15

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Solution

The fourth proportional to 10,280.66, 14,187.56 and 5,804.15 is: 8,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.66 : 14,187.56 = 5,804.15 : x
  2. Step 2: Convert to fraction form
    10,280.66/14,187.56 = 5,804.15/x
  3. Step 3: Cross multiply
    10,280.66x = 14,187.56 × 5,804.15
  4. Step 4: Simplify right side
    10,280.66x = 82,346,626.42
  5. Step 5: Solve for x
    x = 82,346,626.42/10,280.66
  6. Step 6: Final answer
    x = 8,009.86

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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.