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Finding the Fourth Proportional to 4,667.40, 7,009.20 and 4,521.60

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Solution

The fourth proportional to 4,667.40, 7,009.20 and 4,521.60 is: 6,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.40 : 7,009.20 = 4,521.60 : x
  2. Step 2: Convert to fraction form
    4,667.40/7,009.20 = 4,521.60/x
  3. Step 3: Cross multiply
    4,667.40x = 7,009.20 × 4,521.60
  4. Step 4: Simplify right side
    4,667.40x = 31,692,798.72
  5. Step 5: Solve for x
    x = 31,692,798.72/4,667.40
  6. Step 6: Final answer
    x = 6,790.25

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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.