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Finding the Fourth Proportional to 29,697.46, 44,534.96 and 9,702.26

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Solution

The fourth proportional to 29,697.46, 44,534.96 and 9,702.26 is: 14,549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.46 : 44,534.96 = 9,702.26 : x
  2. Step 2: Convert to fraction form
    29,697.46/44,534.96 = 9,702.26/x
  3. Step 3: Cross multiply
    29,697.46x = 44,534.96 × 9,702.26
  4. Step 4: Simplify right side
    29,697.46x = 432,089,761.01
  5. Step 5: Solve for x
    x = 432,089,761.01/29,697.46
  6. Step 6: Final answer
    x = 14,549.72

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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.