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Finding the Fourth Proportional to 6,259.29, 8,628.61 and 4,764.60

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Solution

The fourth proportional to 6,259.29, 8,628.61 and 4,764.60 is: 6,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.29 : 8,628.61 = 4,764.60 : x
  2. Step 2: Convert to fraction form
    6,259.29/8,628.61 = 4,764.60/x
  3. Step 3: Cross multiply
    6,259.29x = 8,628.61 × 4,764.60
  4. Step 4: Simplify right side
    6,259.29x = 41,111,875.21
  5. Step 5: Solve for x
    x = 41,111,875.21/6,259.29
  6. Step 6: Final answer
    x = 6,568.14

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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.