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Finding the Fourth Proportional to 9,838.53, 13,646.75 and 9,483.89

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Solution

The fourth proportional to 9,838.53, 13,646.75 and 9,483.89 is: 13,154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.53 : 13,646.75 = 9,483.89 : x
  2. Step 2: Convert to fraction form
    9,838.53/13,646.75 = 9,483.89/x
  3. Step 3: Cross multiply
    9,838.53x = 13,646.75 × 9,483.89
  4. Step 4: Simplify right side
    9,838.53x = 129,424,160.20
  5. Step 5: Solve for x
    x = 129,424,160.20/9,838.53
  6. Step 6: Final answer
    x = 13,154.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.