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Finding the Fourth Proportional to 7,836.93, 10,816.38 and 7,577.46

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Solution

The fourth proportional to 7,836.93, 10,816.38 and 7,577.46 is: 10,458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.93 : 10,816.38 = 7,577.46 : x
  2. Step 2: Convert to fraction form
    7,836.93/10,816.38 = 7,577.46/x
  3. Step 3: Cross multiply
    7,836.93x = 10,816.38 × 7,577.46
  4. Step 4: Simplify right side
    7,836.93x = 81,960,686.79
  5. Step 5: Solve for x
    x = 81,960,686.79/7,836.93
  6. Step 6: Final answer
    x = 10,458.26

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Half scale
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Double scale
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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.