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Finding the Fourth Proportional to 7,840.46, 10,819.76 and 4,303.64

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Solution

The fourth proportional to 7,840.46, 10,819.76 and 4,303.64 is: 5,938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.46 : 10,819.76 = 4,303.64 : x
  2. Step 2: Convert to fraction form
    7,840.46/10,819.76 = 4,303.64/x
  3. Step 3: Cross multiply
    7,840.46x = 10,819.76 × 4,303.64
  4. Step 4: Simplify right side
    7,840.46x = 46,564,351.93
  5. Step 5: Solve for x
    x = 46,564,351.93/7,840.46
  6. Step 6: Final answer
    x = 5,938.98

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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.