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Finding the Fourth Proportional to 7,171.90, 9,895.08 and 4,340.32

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Solution

The fourth proportional to 7,171.90, 9,895.08 and 4,340.32 is: 5,988.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.90 : 9,895.08 = 4,340.32 : x
  2. Step 2: Convert to fraction form
    7,171.90/9,895.08 = 4,340.32/x
  3. Step 3: Cross multiply
    7,171.90x = 9,895.08 × 4,340.32
  4. Step 4: Simplify right side
    7,171.90x = 42,947,813.63
  5. Step 5: Solve for x
    x = 42,947,813.63/7,171.90
  6. Step 6: Final answer
    x = 5,988.35

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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.