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Finding the Fourth Proportional to 10,097.51, 15,146.28 and 4,831.28

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Solution

The fourth proportional to 10,097.51, 15,146.28 and 4,831.28 is: 7,246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.51 : 15,146.28 = 4,831.28 : x
  2. Step 2: Convert to fraction form
    10,097.51/15,146.28 = 4,831.28/x
  3. Step 3: Cross multiply
    10,097.51x = 15,146.28 × 4,831.28
  4. Step 4: Simplify right side
    10,097.51x = 73,175,957.50
  5. Step 5: Solve for x
    x = 73,175,957.50/10,097.51
  6. Step 6: Final answer
    x = 7,246.93

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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.