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Finding the Fourth Proportional to 8,646.71, 12,985.73 and 7,952.14

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Solution

The fourth proportional to 8,646.71, 12,985.73 and 7,952.14 is: 11,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.71 : 12,985.73 = 7,952.14 : x
  2. Step 2: Convert to fraction form
    8,646.71/12,985.73 = 7,952.14/x
  3. Step 3: Cross multiply
    8,646.71x = 12,985.73 × 7,952.14
  4. Step 4: Simplify right side
    8,646.71x = 103,264,238.27
  5. Step 5: Solve for x
    x = 103,264,238.27/8,646.71
  6. Step 6: Final answer
    x = 11,942.60

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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.