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Finding the Fourth Proportional to 6,152.10, 9,228.13 and 1,535.10

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Solution

The fourth proportional to 6,152.10, 9,228.13 and 1,535.10 is: 2,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.10 : 9,228.13 = 1,535.10 : x
  2. Step 2: Convert to fraction form
    6,152.10/9,228.13 = 1,535.10/x
  3. Step 3: Cross multiply
    6,152.10x = 9,228.13 × 1,535.10
  4. Step 4: Simplify right side
    6,152.10x = 14,166,098.53
  5. Step 5: Solve for x
    x = 14,166,098.53/6,152.10
  6. Step 6: Final answer
    x = 2,302.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.