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Finding the Fourth Proportional to 6,870.58, 10,303.62 and 2,252.50

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Solution

The fourth proportional to 6,870.58, 10,303.62 and 2,252.50 is: 3,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.58 : 10,303.62 = 2,252.50 : x
  2. Step 2: Convert to fraction form
    6,870.58/10,303.62 = 2,252.50/x
  3. Step 3: Cross multiply
    6,870.58x = 10,303.62 × 2,252.50
  4. Step 4: Simplify right side
    6,870.58x = 23,208,904.05
  5. Step 5: Solve for x
    x = 23,208,904.05/6,870.58
  6. Step 6: Final answer
    x = 3,378.01

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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.