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Finding the Fourth Proportional to 9,975.04, 13,772.88 and 7,996.48

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Solution

The fourth proportional to 9,975.04, 13,772.88 and 7,996.48 is: 11,041.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.04 : 13,772.88 = 7,996.48 : x
  2. Step 2: Convert to fraction form
    9,975.04/13,772.88 = 7,996.48/x
  3. Step 3: Cross multiply
    9,975.04x = 13,772.88 × 7,996.48
  4. Step 4: Simplify right side
    9,975.04x = 110,134,559.46
  5. Step 5: Solve for x
    x = 110,134,559.46/9,975.04
  6. Step 6: Final answer
    x = 11,041.01

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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.