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Finding the Fourth Proportional to 10,605.40, 15,894.78 and 5,054.20

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Solution

The fourth proportional to 10,605.40, 15,894.78 and 5,054.20 is: 7,574.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.40 : 15,894.78 = 5,054.20 : x
  2. Step 2: Convert to fraction form
    10,605.40/15,894.78 = 5,054.20/x
  3. Step 3: Cross multiply
    10,605.40x = 15,894.78 × 5,054.20
  4. Step 4: Simplify right side
    10,605.40x = 80,335,397.08
  5. Step 5: Solve for x
    x = 80,335,397.08/10,605.40
  6. Step 6: Final answer
    x = 7,574.95

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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.