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Finding the Fourth Proportional to 9,895.62, 13,655.64 and 5,419.26

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Solution

The fourth proportional to 9,895.62, 13,655.64 and 5,419.26 is: 7,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.62 : 13,655.64 = 5,419.26 : x
  2. Step 2: Convert to fraction form
    9,895.62/13,655.64 = 5,419.26/x
  3. Step 3: Cross multiply
    9,895.62x = 13,655.64 × 5,419.26
  4. Step 4: Simplify right side
    9,895.62x = 74,003,463.63
  5. Step 5: Solve for x
    x = 74,003,463.63/9,895.62
  6. Step 6: Final answer
    x = 7,478.41

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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.