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Finding the Fourth Proportional to 6,948.56, 10,334.50 and 6,741.20

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Solution

The fourth proportional to 6,948.56, 10,334.50 and 6,741.20 is: 10,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.56 : 10,334.50 = 6,741.20 : x
  2. Step 2: Convert to fraction form
    6,948.56/10,334.50 = 6,741.20/x
  3. Step 3: Cross multiply
    6,948.56x = 10,334.50 × 6,741.20
  4. Step 4: Simplify right side
    6,948.56x = 69,666,931.40
  5. Step 5: Solve for x
    x = 69,666,931.40/6,948.56
  6. Step 6: Final answer
    x = 10,026.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.