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Finding the Fourth Proportional to 9,579.71, 14,356.47 and 7,237.80

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Solution

The fourth proportional to 9,579.71, 14,356.47 and 7,237.80 is: 10,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.71 : 14,356.47 = 7,237.80 : x
  2. Step 2: Convert to fraction form
    9,579.71/14,356.47 = 7,237.80/x
  3. Step 3: Cross multiply
    9,579.71x = 14,356.47 × 7,237.80
  4. Step 4: Simplify right side
    9,579.71x = 103,909,184.26
  5. Step 5: Solve for x
    x = 103,909,184.26/9,579.71
  6. Step 6: Final answer
    x = 10,846.80

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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.