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Finding the Fourth Proportional to 9,467.92, 13,055.47 and 6,445

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Solution

The fourth proportional to 9,467.92, 13,055.47 and 6,445 is: 8,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.92 : 13,055.47 = 6,445 : x
  2. Step 2: Convert to fraction form
    9,467.92/13,055.47 = 6,445/x
  3. Step 3: Cross multiply
    9,467.92x = 13,055.47 × 6,445
  4. Step 4: Simplify right side
    9,467.92x = 84,142,504.15
  5. Step 5: Solve for x
    x = 84,142,504.15/9,467.92
  6. Step 6: Final answer
    x = 8,887.12

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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.