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Finding the Fourth Proportional to 7,828.94, 10,804.04 and 4,684.52

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Solution

The fourth proportional to 7,828.94, 10,804.04 and 4,684.52 is: 6,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.94 : 10,804.04 = 4,684.52 : x
  2. Step 2: Convert to fraction form
    7,828.94/10,804.04 = 4,684.52/x
  3. Step 3: Cross multiply
    7,828.94x = 10,804.04 × 4,684.52
  4. Step 4: Simplify right side
    7,828.94x = 50,611,741.46
  5. Step 5: Solve for x
    x = 50,611,741.46/7,828.94
  6. Step 6: Final answer
    x = 6,464.70

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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.