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Finding the Fourth Proportional to 10,695.76, 14,762.06 and 6,447.58

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Solution

The fourth proportional to 10,695.76, 14,762.06 and 6,447.58 is: 8,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.76 : 14,762.06 = 6,447.58 : x
  2. Step 2: Convert to fraction form
    10,695.76/14,762.06 = 6,447.58/x
  3. Step 3: Cross multiply
    10,695.76x = 14,762.06 × 6,447.58
  4. Step 4: Simplify right side
    10,695.76x = 95,179,562.81
  5. Step 5: Solve for x
    x = 95,179,562.81/10,695.76
  6. Step 6: Final answer
    x = 8,898.81

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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.