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Finding the Fourth Proportional to 9,970.56, 14,958 and 3,730.32

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Solution

The fourth proportional to 9,970.56, 14,958 and 3,730.32 is: 5,596.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.56 : 14,958 = 3,730.32 : x
  2. Step 2: Convert to fraction form
    9,970.56/14,958 = 3,730.32/x
  3. Step 3: Cross multiply
    9,970.56x = 14,958 × 3,730.32
  4. Step 4: Simplify right side
    9,970.56x = 55,798,126.56
  5. Step 5: Solve for x
    x = 55,798,126.56/9,970.56
  6. Step 6: Final answer
    x = 5,596.29

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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.