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Finding the Fourth Proportional to 7,858.92, 10,840.80 and 4,713.24

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Solution

The fourth proportional to 7,858.92, 10,840.80 and 4,713.24 is: 6,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.92 : 10,840.80 = 4,713.24 : x
  2. Step 2: Convert to fraction form
    7,858.92/10,840.80 = 4,713.24/x
  3. Step 3: Cross multiply
    7,858.92x = 10,840.80 × 4,713.24
  4. Step 4: Simplify right side
    7,858.92x = 51,095,292.19
  5. Step 5: Solve for x
    x = 51,095,292.19/7,858.92
  6. Step 6: Final answer
    x = 6,501.57

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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.