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Finding the Fourth Proportional to 9,838.04, 14,751.30 and 6,756.44

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Solution

The fourth proportional to 9,838.04, 14,751.30 and 6,756.44 is: 10,130.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.04 : 14,751.30 = 6,756.44 : x
  2. Step 2: Convert to fraction form
    9,838.04/14,751.30 = 6,756.44/x
  3. Step 3: Cross multiply
    9,838.04x = 14,751.30 × 6,756.44
  4. Step 4: Simplify right side
    9,838.04x = 99,666,273.37
  5. Step 5: Solve for x
    x = 99,666,273.37/9,838.04
  6. Step 6: Final answer
    x = 10,130.70

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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.