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Finding the Fourth Proportional to 9,624.63, 13,287.30 and 6,043.32

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Solution

The fourth proportional to 9,624.63, 13,287.30 and 6,043.32 is: 8,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.63 : 13,287.30 = 6,043.32 : x
  2. Step 2: Convert to fraction form
    9,624.63/13,287.30 = 6,043.32/x
  3. Step 3: Cross multiply
    9,624.63x = 13,287.30 × 6,043.32
  4. Step 4: Simplify right side
    9,624.63x = 80,299,405.84
  5. Step 5: Solve for x
    x = 80,299,405.84/9,624.63
  6. Step 6: Final answer
    x = 8,343.12

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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.