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Finding the Fourth Proportional to 4,970.85, 7,454.12 and 1,507.29

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Solution

The fourth proportional to 4,970.85, 7,454.12 and 1,507.29 is: 2,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.85 : 7,454.12 = 1,507.29 : x
  2. Step 2: Convert to fraction form
    4,970.85/7,454.12 = 1,507.29/x
  3. Step 3: Cross multiply
    4,970.85x = 7,454.12 × 1,507.29
  4. Step 4: Simplify right side
    4,970.85x = 11,235,513.00
  5. Step 5: Solve for x
    x = 11,235,513.00/4,970.85
  6. Step 6: Final answer
    x = 2,260.28

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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.