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Finding the Fourth Proportional to 5,564.68, 8,374.94 and 4,185.16

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Solution

The fourth proportional to 5,564.68, 8,374.94 and 4,185.16 is: 6,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.68 : 8,374.94 = 4,185.16 : x
  2. Step 2: Convert to fraction form
    5,564.68/8,374.94 = 4,185.16/x
  3. Step 3: Cross multiply
    5,564.68x = 8,374.94 × 4,185.16
  4. Step 4: Simplify right side
    5,564.68x = 35,050,463.89
  5. Step 5: Solve for x
    x = 35,050,463.89/5,564.68
  6. Step 6: Final answer
    x = 6,298.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.