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Finding the Fourth Proportional to 4,646.62, 6,970.00 and 1,136.63

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Solution

The fourth proportional to 4,646.62, 6,970.00 and 1,136.63 is: 1,704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.62 : 6,970.00 = 1,136.63 : x
  2. Step 2: Convert to fraction form
    4,646.62/6,970.00 = 1,136.63/x
  3. Step 3: Cross multiply
    4,646.62x = 6,970.00 × 1,136.63
  4. Step 4: Simplify right side
    4,646.62x = 7,922,327.81
  5. Step 5: Solve for x
    x = 7,922,327.81/4,646.62
  6. Step 6: Final answer
    x = 1,704.97

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1.5x scale

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.