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Finding the Fourth Proportional to 7,775.92, 10,722.12 and 6,094.32

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Solution

The fourth proportional to 7,775.92, 10,722.12 and 6,094.32 is: 8,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.92 : 10,722.12 = 6,094.32 : x
  2. Step 2: Convert to fraction form
    7,775.92/10,722.12 = 6,094.32/x
  3. Step 3: Cross multiply
    7,775.92x = 10,722.12 × 6,094.32
  4. Step 4: Simplify right side
    7,775.92x = 65,344,030.36
  5. Step 5: Solve for x
    x = 65,344,030.36/7,775.92
  6. Step 6: Final answer
    x = 8,403.38

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Half 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.