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Finding the Fourth Proportional to 9,585.84, 13,228.08 and 5,393.28

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Solution

The fourth proportional to 9,585.84, 13,228.08 and 5,393.28 is: 7,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.84 : 13,228.08 = 5,393.28 : x
  2. Step 2: Convert to fraction form
    9,585.84/13,228.08 = 5,393.28/x
  3. Step 3: Cross multiply
    9,585.84x = 13,228.08 × 5,393.28
  4. Step 4: Simplify right side
    9,585.84x = 71,342,739.30
  5. Step 5: Solve for x
    x = 71,342,739.30/9,585.84
  6. Step 6: Final answer
    x = 7,442.51

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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.