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Finding the Fourth Proportional to 9,653.58, 14,480.19 and 6,483.78

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Solution

The fourth proportional to 9,653.58, 14,480.19 and 6,483.78 is: 9,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.58 : 14,480.19 = 6,483.78 : x
  2. Step 2: Convert to fraction form
    9,653.58/14,480.19 = 6,483.78/x
  3. Step 3: Cross multiply
    9,653.58x = 14,480.19 × 6,483.78
  4. Step 4: Simplify right side
    9,653.58x = 93,886,366.32
  5. Step 5: Solve for x
    x = 93,886,366.32/9,653.58
  6. Step 6: Final answer
    x = 9,725.55

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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.