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Finding the Fourth Proportional to 4,646.56, 6,973.52 and 4,099.84

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Solution

The fourth proportional to 4,646.56, 6,973.52 and 4,099.84 is: 6,153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.56 : 6,973.52 = 4,099.84 : x
  2. Step 2: Convert to fraction form
    4,646.56/6,973.52 = 4,099.84/x
  3. Step 3: Cross multiply
    4,646.56x = 6,973.52 × 4,099.84
  4. Step 4: Simplify right side
    4,646.56x = 28,590,316.24
  5. Step 5: Solve for x
    x = 28,590,316.24/4,646.56
  6. Step 6: Final answer
    x = 6,153.01

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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.