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Finding the Fourth Proportional to 5,263.07, 7,856.08 and 4,640.31

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Solution

The fourth proportional to 5,263.07, 7,856.08 and 4,640.31 is: 6,926.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.07 : 7,856.08 = 4,640.31 : x
  2. Step 2: Convert to fraction form
    5,263.07/7,856.08 = 4,640.31/x
  3. Step 3: Cross multiply
    5,263.07x = 7,856.08 × 4,640.31
  4. Step 4: Simplify right side
    5,263.07x = 36,454,646.58
  5. Step 5: Solve for x
    x = 36,454,646.58/5,263.07
  6. Step 6: Final answer
    x = 6,926.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.