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Finding the Fourth Proportional to 8,435.54, 11,656.50 and 7,312.88

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Solution

The fourth proportional to 8,435.54, 11,656.50 and 7,312.88 is: 10,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.54 : 11,656.50 = 7,312.88 : x
  2. Step 2: Convert to fraction form
    8,435.54/11,656.50 = 7,312.88/x
  3. Step 3: Cross multiply
    8,435.54x = 11,656.50 × 7,312.88
  4. Step 4: Simplify right side
    8,435.54x = 85,242,585.72
  5. Step 5: Solve for x
    x = 85,242,585.72/8,435.54
  6. Step 6: Final answer
    x = 10,105.17

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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.