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Finding the Fourth Proportional to 9,873.01, 13,621.26 and 5,681.26

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Solution

The fourth proportional to 9,873.01, 13,621.26 and 5,681.26 is: 7,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.01 : 13,621.26 = 5,681.26 : x
  2. Step 2: Convert to fraction form
    9,873.01/13,621.26 = 5,681.26/x
  3. Step 3: Cross multiply
    9,873.01x = 13,621.26 × 5,681.26
  4. Step 4: Simplify right side
    9,873.01x = 77,385,919.59
  5. Step 5: Solve for x
    x = 77,385,919.59/9,873.01
  6. Step 6: Final answer
    x = 7,838.13

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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.