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Finding the Fourth Proportional to 9,032.43, 13,541.35 and 8,303.43

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Solution

The fourth proportional to 9,032.43, 13,541.35 and 8,303.43 is: 12,448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.43 : 13,541.35 = 8,303.43 : x
  2. Step 2: Convert to fraction form
    9,032.43/13,541.35 = 8,303.43/x
  3. Step 3: Cross multiply
    9,032.43x = 13,541.35 × 8,303.43
  4. Step 4: Simplify right side
    9,032.43x = 112,439,651.83
  5. Step 5: Solve for x
    x = 112,439,651.83/9,032.43
  6. Step 6: Final answer
    x = 12,448.44

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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.