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Finding the Fourth Proportional to 4,716.77, 6,509.36 and 2,828.45

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Solution

The fourth proportional to 4,716.77, 6,509.36 and 2,828.45 is: 3,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.77 : 6,509.36 = 2,828.45 : x
  2. Step 2: Convert to fraction form
    4,716.77/6,509.36 = 2,828.45/x
  3. Step 3: Cross multiply
    4,716.77x = 6,509.36 × 2,828.45
  4. Step 4: Simplify right side
    4,716.77x = 18,411,422.64
  5. Step 5: Solve for x
    x = 18,411,422.64/4,716.77
  6. Step 6: Final answer
    x = 3,903.40

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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.