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Finding the Fourth Proportional to 7,856.66, 10,844.06 and 4,501.40

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Solution

The fourth proportional to 7,856.66, 10,844.06 and 4,501.40 is: 6,213.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.66 : 10,844.06 = 4,501.40 : x
  2. Step 2: Convert to fraction form
    7,856.66/10,844.06 = 4,501.40/x
  3. Step 3: Cross multiply
    7,856.66x = 10,844.06 × 4,501.40
  4. Step 4: Simplify right side
    7,856.66x = 48,813,451.68
  5. Step 5: Solve for x
    x = 48,813,451.68/7,856.66
  6. Step 6: Final answer
    x = 6,213.00

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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.