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Finding the Fourth Proportional to 10,495, 14,484.72 and 6,302.44

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Solution

The fourth proportional to 10,495, 14,484.72 and 6,302.44 is: 8,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495 : 14,484.72 = 6,302.44 : x
  2. Step 2: Convert to fraction form
    10,495/14,484.72 = 6,302.44/x
  3. Step 3: Cross multiply
    10,495x = 14,484.72 × 6,302.44
  4. Step 4: Simplify right side
    10,495x = 91,289,078.72
  5. Step 5: Solve for x
    x = 91,289,078.72/10,495
  6. Step 6: Final answer
    x = 8,698.34

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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.