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Finding the Fourth Proportional to 10,695.63, 14,764.02 and 9,574.53

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Solution

The fourth proportional to 10,695.63, 14,764.02 and 9,574.53 is: 13,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.63 : 14,764.02 = 9,574.53 : x
  2. Step 2: Convert to fraction form
    10,695.63/14,764.02 = 9,574.53/x
  3. Step 3: Cross multiply
    10,695.63x = 14,764.02 × 9,574.53
  4. Step 4: Simplify right side
    10,695.63x = 141,358,552.41
  5. Step 5: Solve for x
    x = 141,358,552.41/10,695.63
  6. Step 6: Final answer
    x = 13,216.48

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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.