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Finding the Fourth Proportional to 9,714.51, 14,573.52 and 6,020.91

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Solution

The fourth proportional to 9,714.51, 14,573.52 and 6,020.91 is: 9,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.51 : 14,573.52 = 6,020.91 : x
  2. Step 2: Convert to fraction form
    9,714.51/14,573.52 = 6,020.91/x
  3. Step 3: Cross multiply
    9,714.51x = 14,573.52 × 6,020.91
  4. Step 4: Simplify right side
    9,714.51x = 87,745,852.30
  5. Step 5: Solve for x
    x = 87,745,852.30/9,714.51
  6. Step 6: Final answer
    x = 9,032.45

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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.