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Finding the Fourth Proportional to 4,686.36, 6,465.69 and 2,823.36

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Solution

The fourth proportional to 4,686.36, 6,465.69 and 2,823.36 is: 3,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.36 : 6,465.69 = 2,823.36 : x
  2. Step 2: Convert to fraction form
    4,686.36/6,465.69 = 2,823.36/x
  3. Step 3: Cross multiply
    4,686.36x = 6,465.69 × 2,823.36
  4. Step 4: Simplify right side
    4,686.36x = 18,254,946.27
  5. Step 5: Solve for x
    x = 18,254,946.27/4,686.36
  6. Step 6: Final answer
    x = 3,895.34

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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.