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Finding the Fourth Proportional to 9,285.66, 12,804.44 and 7,022.32

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Solution

The fourth proportional to 9,285.66, 12,804.44 and 7,022.32 is: 9,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.66 : 12,804.44 = 7,022.32 : x
  2. Step 2: Convert to fraction form
    9,285.66/12,804.44 = 7,022.32/x
  3. Step 3: Cross multiply
    9,285.66x = 12,804.44 × 7,022.32
  4. Step 4: Simplify right side
    9,285.66x = 89,916,807.98
  5. Step 5: Solve for x
    x = 89,916,807.98/9,285.66
  6. Step 6: Final answer
    x = 9,683.41

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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.