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Finding the Fourth Proportional to 8,154.72, 11,254.24 and 4,618.16

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Solution

The fourth proportional to 8,154.72, 11,254.24 and 4,618.16 is: 6,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.72 : 11,254.24 = 4,618.16 : x
  2. Step 2: Convert to fraction form
    8,154.72/11,254.24 = 4,618.16/x
  3. Step 3: Cross multiply
    8,154.72x = 11,254.24 × 4,618.16
  4. Step 4: Simplify right side
    8,154.72x = 51,973,881.00
  5. Step 5: Solve for x
    x = 51,973,881.00/8,154.72
  6. Step 6: Final answer
    x = 6,373.47

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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.