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Finding the Fourth Proportional to 7,802.14, 10,767.16 and 4,660.14

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Solution

The fourth proportional to 7,802.14, 10,767.16 and 4,660.14 is: 6,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.14 : 10,767.16 = 4,660.14 : x
  2. Step 2: Convert to fraction form
    7,802.14/10,767.16 = 4,660.14/x
  3. Step 3: Cross multiply
    7,802.14x = 10,767.16 × 4,660.14
  4. Step 4: Simplify right side
    7,802.14x = 50,176,473.00
  5. Step 5: Solve for x
    x = 50,176,473.00/7,802.14
  6. Step 6: Final answer
    x = 6,431.12

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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.