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Finding the Fourth Proportional to 9,155.64, 13,737.24 and 4,409.40

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Solution

The fourth proportional to 9,155.64, 13,737.24 and 4,409.40 is: 6,615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.64 : 13,737.24 = 4,409.40 : x
  2. Step 2: Convert to fraction form
    9,155.64/13,737.24 = 4,409.40/x
  3. Step 3: Cross multiply
    9,155.64x = 13,737.24 × 4,409.40
  4. Step 4: Simplify right side
    9,155.64x = 60,572,986.06
  5. Step 5: Solve for x
    x = 60,572,986.06/9,155.64
  6. Step 6: Final answer
    x = 6,615.92

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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.