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Finding the Fourth Proportional to 5,643.68, 7,789.06 and 4,698.10

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Solution

The fourth proportional to 5,643.68, 7,789.06 and 4,698.10 is: 6,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.68 : 7,789.06 = 4,698.10 : x
  2. Step 2: Convert to fraction form
    5,643.68/7,789.06 = 4,698.10/x
  3. Step 3: Cross multiply
    5,643.68x = 7,789.06 × 4,698.10
  4. Step 4: Simplify right side
    5,643.68x = 36,593,798.39
  5. Step 5: Solve for x
    x = 36,593,798.39/5,643.68
  6. Step 6: Final answer
    x = 6,484.04

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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.