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Finding the Fourth Proportional to 9,814.76, 13,544.08 and 5,566.21

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Solution

The fourth proportional to 9,814.76, 13,544.08 and 5,566.21 is: 7,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.76 : 13,544.08 = 5,566.21 : x
  2. Step 2: Convert to fraction form
    9,814.76/13,544.08 = 5,566.21/x
  3. Step 3: Cross multiply
    9,814.76x = 13,544.08 × 5,566.21
  4. Step 4: Simplify right side
    9,814.76x = 75,389,145.76
  5. Step 5: Solve for x
    x = 75,389,145.76/9,814.76
  6. Step 6: Final answer
    x = 7,681.20

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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.