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Finding the Fourth Proportional to 9,175.30, 13,824.16 and 8,298.81

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Solution

The fourth proportional to 9,175.30, 13,824.16 and 8,298.81 is: 12,503.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.30 : 13,824.16 = 8,298.81 : x
  2. Step 2: Convert to fraction form
    9,175.30/13,824.16 = 8,298.81/x
  3. Step 3: Cross multiply
    9,175.30x = 13,824.16 × 8,298.81
  4. Step 4: Simplify right side
    9,175.30x = 114,724,056.50
  5. Step 5: Solve for x
    x = 114,724,056.50/9,175.30
  6. Step 6: Final answer
    x = 12,503.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.