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Finding the Fourth Proportional to 36,714.16, 55,071.42 and 9,012.16

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Solution

The fourth proportional to 36,714.16, 55,071.42 and 9,012.16 is: 13,518.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,714.16 : 55,071.42 = 9,012.16 : x
  2. Step 2: Convert to fraction form
    36,714.16/55,071.42 = 9,012.16/x
  3. Step 3: Cross multiply
    36,714.16x = 55,071.42 × 9,012.16
  4. Step 4: Simplify right side
    36,714.16x = 496,312,448.47
  5. Step 5: Solve for x
    x = 496,312,448.47/36,714.16
  6. Step 6: Final answer
    x = 13,518.28

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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.