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Finding the Fourth Proportional to 10,629.63, 14,663.98 and 6,854.01

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Solution

The fourth proportional to 10,629.63, 14,663.98 and 6,854.01 is: 9,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,629.63 : 14,663.98 = 6,854.01 : x
  2. Step 2: Convert to fraction form
    10,629.63/14,663.98 = 6,854.01/x
  3. Step 3: Cross multiply
    10,629.63x = 14,663.98 × 6,854.01
  4. Step 4: Simplify right side
    10,629.63x = 100,507,039.76
  5. Step 5: Solve for x
    x = 100,507,039.76/10,629.63
  6. Step 6: Final answer
    x = 9,455.37

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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.