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Finding the Fourth Proportional to 9,573, 14,360.24 and 2,999.13

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Solution

The fourth proportional to 9,573, 14,360.24 and 2,999.13 is: 4,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573 : 14,360.24 = 2,999.13 : x
  2. Step 2: Convert to fraction form
    9,573/14,360.24 = 2,999.13/x
  3. Step 3: Cross multiply
    9,573x = 14,360.24 × 2,999.13
  4. Step 4: Simplify right side
    9,573x = 43,068,226.59
  5. Step 5: Solve for x
    x = 43,068,226.59/9,573
  6. Step 6: Final answer
    x = 4,498.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.