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Finding the Fourth Proportional to 10,097.39, 15,146.09 and 4,831.16

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Solution

The fourth proportional to 10,097.39, 15,146.09 and 4,831.16 is: 7,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.39 : 15,146.09 = 4,831.16 : x
  2. Step 2: Convert to fraction form
    10,097.39/15,146.09 = 4,831.16/x
  3. Step 3: Cross multiply
    10,097.39x = 15,146.09 × 4,831.16
  4. Step 4: Simplify right side
    10,097.39x = 73,173,158.38
  5. Step 5: Solve for x
    x = 73,173,158.38/10,097.39
  6. Step 6: Final answer
    x = 7,246.74

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Similar ratio
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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.