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Finding the Fourth Proportional to 4,975.02, 7,455.06 and 4,506.21

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Solution

The fourth proportional to 4,975.02, 7,455.06 and 4,506.21 is: 6,752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.02 : 7,455.06 = 4,506.21 : x
  2. Step 2: Convert to fraction form
    4,975.02/7,455.06 = 4,506.21/x
  3. Step 3: Cross multiply
    4,975.02x = 7,455.06 × 4,506.21
  4. Step 4: Simplify right side
    4,975.02x = 33,594,065.92
  5. Step 5: Solve for x
    x = 33,594,065.92/4,975.02
  6. Step 6: Final answer
    x = 6,752.55

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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.