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Finding the Fourth Proportional to 4,763.70, 7,129.35 and 4,374.90

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Solution

The fourth proportional to 4,763.70, 7,129.35 and 4,374.90 is: 6,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.70 : 7,129.35 = 4,374.90 : x
  2. Step 2: Convert to fraction form
    4,763.70/7,129.35 = 4,374.90/x
  3. Step 3: Cross multiply
    4,763.70x = 7,129.35 × 4,374.90
  4. Step 4: Simplify right side
    4,763.70x = 31,190,193.32
  5. Step 5: Solve for x
    x = 31,190,193.32/4,763.70
  6. Step 6: Final answer
    x = 6,547.47

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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.