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Finding the Fourth Proportional to 9,830.01, 14,725.50 and 4,639.53

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Solution

The fourth proportional to 9,830.01, 14,725.50 and 4,639.53 is: 6,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.01 : 14,725.50 = 4,639.53 : x
  2. Step 2: Convert to fraction form
    9,830.01/14,725.50 = 4,639.53/x
  3. Step 3: Cross multiply
    9,830.01x = 14,725.50 × 4,639.53
  4. Step 4: Simplify right side
    9,830.01x = 68,319,325.39
  5. Step 5: Solve for x
    x = 68,319,325.39/9,830.01
  6. Step 6: Final answer
    x = 6,950.08

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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.