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Finding the Fourth Proportional to 9,625.53, 13,283.29 and 5,646.71

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Solution

The fourth proportional to 9,625.53, 13,283.29 and 5,646.71 is: 7,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.53 : 13,283.29 = 5,646.71 : x
  2. Step 2: Convert to fraction form
    9,625.53/13,283.29 = 5,646.71/x
  3. Step 3: Cross multiply
    9,625.53x = 13,283.29 × 5,646.71
  4. Step 4: Simplify right side
    9,625.53x = 75,006,926.74
  5. Step 5: Solve for x
    x = 75,006,926.74/9,625.53
  6. Step 6: Final answer
    x = 7,792.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.