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Finding the Fourth Proportional to 9,714.70, 14,586.90 and 5,340.70

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Solution

The fourth proportional to 9,714.70, 14,586.90 and 5,340.70 is: 8,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.70 : 14,586.90 = 5,340.70 : x
  2. Step 2: Convert to fraction form
    9,714.70/14,586.90 = 5,340.70/x
  3. Step 3: Cross multiply
    9,714.70x = 14,586.90 × 5,340.70
  4. Step 4: Simplify right side
    9,714.70x = 77,904,256.83
  5. Step 5: Solve for x
    x = 77,904,256.83/9,714.70
  6. Step 6: Final answer
    x = 8,019.21

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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.