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Finding the Fourth Proportional to 10,970.35, 15,138.07 and 6,719.47

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Solution

The fourth proportional to 10,970.35, 15,138.07 and 6,719.47 is: 9,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.35 : 15,138.07 = 6,719.47 : x
  2. Step 2: Convert to fraction form
    10,970.35/15,138.07 = 6,719.47/x
  3. Step 3: Cross multiply
    10,970.35x = 15,138.07 × 6,719.47
  4. Step 4: Simplify right side
    10,970.35x = 101,719,807.22
  5. Step 5: Solve for x
    x = 101,719,807.22/10,970.35
  6. Step 6: Final answer
    x = 9,272.25

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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.