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Finding the Fourth Proportional to 10,148.55, 14,015.98 and 6,970.22

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Solution

The fourth proportional to 10,148.55, 14,015.98 and 6,970.22 is: 9,626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.55 : 14,015.98 = 6,970.22 : x
  2. Step 2: Convert to fraction form
    10,148.55/14,015.98 = 6,970.22/x
  3. Step 3: Cross multiply
    10,148.55x = 14,015.98 × 6,970.22
  4. Step 4: Simplify right side
    10,148.55x = 97,694,464.12
  5. Step 5: Solve for x
    x = 97,694,464.12/10,148.55
  6. Step 6: Final answer
    x = 9,626.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.