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Finding the Fourth Proportional to 7,827.64, 11,740.02 and 5,654.68

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Solution

The fourth proportional to 7,827.64, 11,740.02 and 5,654.68 is: 8,480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.64 : 11,740.02 = 5,654.68 : x
  2. Step 2: Convert to fraction form
    7,827.64/11,740.02 = 5,654.68/x
  3. Step 3: Cross multiply
    7,827.64x = 11,740.02 × 5,654.68
  4. Step 4: Simplify right side
    7,827.64x = 66,386,056.29
  5. Step 5: Solve for x
    x = 66,386,056.29/7,827.64
  6. Step 6: Final answer
    x = 8,480.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.