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Finding the Fourth Proportional to 9,477, 13,077 and 5,497.24

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Solution

The fourth proportional to 9,477, 13,077 and 5,497.24 is: 7,585.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477 : 13,077 = 5,497.24 : x
  2. Step 2: Convert to fraction form
    9,477/13,077 = 5,497.24/x
  3. Step 3: Cross multiply
    9,477x = 13,077 × 5,497.24
  4. Step 4: Simplify right side
    9,477x = 71,887,407.48
  5. Step 5: Solve for x
    x = 71,887,407.48/9,477
  6. Step 6: Final answer
    x = 7,585.46

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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.