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Finding the Fourth Proportional to 10,592.64, 14,624.28 and 8,230.32

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Solution

The fourth proportional to 10,592.64, 14,624.28 and 8,230.32 is: 11,362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.64 : 14,624.28 = 8,230.32 : x
  2. Step 2: Convert to fraction form
    10,592.64/14,624.28 = 8,230.32/x
  3. Step 3: Cross multiply
    10,592.64x = 14,624.28 × 8,230.32
  4. Step 4: Simplify right side
    10,592.64x = 120,362,504.17
  5. Step 5: Solve for x
    x = 120,362,504.17/10,592.64
  6. Step 6: Final answer
    x = 11,362.84

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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.