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Finding the Fourth Proportional to 7,044.15, 9,720.95 and 3,814.00

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Solution

The fourth proportional to 7,044.15, 9,720.95 and 3,814.00 is: 5,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044.15 : 9,720.95 = 3,814.00 : x
  2. Step 2: Convert to fraction form
    7,044.15/9,720.95 = 3,814.00/x
  3. Step 3: Cross multiply
    7,044.15x = 9,720.95 × 3,814.00
  4. Step 4: Simplify right side
    7,044.15x = 37,075,714.61
  5. Step 5: Solve for x
    x = 37,075,714.61/7,044.15
  6. Step 6: Final answer
    x = 5,263.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.