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Finding the Fourth Proportional to 10,970.25, 15,138.95 and 6,002.25

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Solution

The fourth proportional to 10,970.25, 15,138.95 and 6,002.25 is: 8,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.25 : 15,138.95 = 6,002.25 : x
  2. Step 2: Convert to fraction form
    10,970.25/15,138.95 = 6,002.25/x
  3. Step 3: Cross multiply
    10,970.25x = 15,138.95 × 6,002.25
  4. Step 4: Simplify right side
    10,970.25x = 90,867,732.63
  5. Step 5: Solve for x
    x = 90,867,732.63/10,970.25
  6. Step 6: Final answer
    x = 8,283.11

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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.