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Finding the Fourth Proportional to 7,094.63, 10,646.81 and 2,477.63

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Solution

The fourth proportional to 7,094.63, 10,646.81 and 2,477.63 is: 3,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.63 : 10,646.81 = 2,477.63 : x
  2. Step 2: Convert to fraction form
    7,094.63/10,646.81 = 2,477.63/x
  3. Step 3: Cross multiply
    7,094.63x = 10,646.81 × 2,477.63
  4. Step 4: Simplify right side
    7,094.63x = 26,378,790.24
  5. Step 5: Solve for x
    x = 26,378,790.24/7,094.63
  6. Step 6: Final answer
    x = 3,718.14

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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.