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Finding the Fourth Proportional to 35,812.84, 53,714.30 and 9,519.72

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Solution

The fourth proportional to 35,812.84, 53,714.30 and 9,519.72 is: 14,278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812.84 : 53,714.30 = 9,519.72 : x
  2. Step 2: Convert to fraction form
    35,812.84/53,714.30 = 9,519.72/x
  3. Step 3: Cross multiply
    35,812.84x = 53,714.30 × 9,519.72
  4. Step 4: Simplify right side
    35,812.84x = 511,345,096.00
  5. Step 5: Solve for x
    x = 511,345,096.00/35,812.84
  6. Step 6: Final answer
    x = 14,278.26

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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.