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Finding the Fourth Proportional to 10,458.91, 14,435.82 and 6,477.63

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Solution

The fourth proportional to 10,458.91, 14,435.82 and 6,477.63 is: 8,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.91 : 14,435.82 = 6,477.63 : x
  2. Step 2: Convert to fraction form
    10,458.91/14,435.82 = 6,477.63/x
  3. Step 3: Cross multiply
    10,458.91x = 14,435.82 × 6,477.63
  4. Step 4: Simplify right side
    10,458.91x = 93,509,900.71
  5. Step 5: Solve for x
    x = 93,509,900.71/10,458.91
  6. Step 6: Final answer
    x = 8,940.69

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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.