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Finding the Fourth Proportional to 7,830.58, 10,806.16 and 4,293.79

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Solution

The fourth proportional to 7,830.58, 10,806.16 and 4,293.79 is: 5,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.58 : 10,806.16 = 4,293.79 : x
  2. Step 2: Convert to fraction form
    7,830.58/10,806.16 = 4,293.79/x
  3. Step 3: Cross multiply
    7,830.58x = 10,806.16 × 4,293.79
  4. Step 4: Simplify right side
    7,830.58x = 46,399,381.75
  5. Step 5: Solve for x
    x = 46,399,381.75/7,830.58
  6. Step 6: Final answer
    x = 5,925.41

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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.