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Finding the Fourth Proportional to 8,410, 11,605.80 and 4,684.24

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Solution

The fourth proportional to 8,410, 11,605.80 and 4,684.24 is: 6,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410 : 11,605.80 = 4,684.24 : x
  2. Step 2: Convert to fraction form
    8,410/11,605.80 = 4,684.24/x
  3. Step 3: Cross multiply
    8,410x = 11,605.80 × 4,684.24
  4. Step 4: Simplify right side
    8,410x = 54,364,352.59
  5. Step 5: Solve for x
    x = 54,364,352.59/8,410
  6. Step 6: Final answer
    x = 6,464.25

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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.