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Finding the Fourth Proportional to 9,960.77, 13,746.23 and 5,484.71

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Solution

The fourth proportional to 9,960.77, 13,746.23 and 5,484.71 is: 7,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.77 : 13,746.23 = 5,484.71 : x
  2. Step 2: Convert to fraction form
    9,960.77/13,746.23 = 5,484.71/x
  3. Step 3: Cross multiply
    9,960.77x = 13,746.23 × 5,484.71
  4. Step 4: Simplify right side
    9,960.77x = 75,394,085.14
  5. Step 5: Solve for x
    x = 75,394,085.14/9,960.77
  6. Step 6: Final answer
    x = 7,569.10

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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.