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Finding the Fourth Proportional to 7,837.80, 11,756.70 and 7,319.40

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Solution

The fourth proportional to 7,837.80, 11,756.70 and 7,319.40 is: 10,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.80 : 11,756.70 = 7,319.40 : x
  2. Step 2: Convert to fraction form
    7,837.80/11,756.70 = 7,319.40/x
  3. Step 3: Cross multiply
    7,837.80x = 11,756.70 × 7,319.40
  4. Step 4: Simplify right side
    7,837.80x = 86,051,989.98
  5. Step 5: Solve for x
    x = 86,051,989.98/7,837.80
  6. Step 6: Final answer
    x = 10,979.10

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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.