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Finding the Fourth Proportional to 9,815.50, 14,703.54 and 4,870.18

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Solution

The fourth proportional to 9,815.50, 14,703.54 and 4,870.18 is: 7,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.50 : 14,703.54 = 4,870.18 : x
  2. Step 2: Convert to fraction form
    9,815.50/14,703.54 = 4,870.18/x
  3. Step 3: Cross multiply
    9,815.50x = 14,703.54 × 4,870.18
  4. Step 4: Simplify right side
    9,815.50x = 71,608,886.44
  5. Step 5: Solve for x
    x = 71,608,886.44/9,815.50
  6. Step 6: Final answer
    x = 7,295.49

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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.