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Finding the Fourth Proportional to 10,535.63, 14,605.74 and 9,973.83

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Solution

The fourth proportional to 10,535.63, 14,605.74 and 9,973.83 is: 13,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.63 : 14,605.74 = 9,973.83 : x
  2. Step 2: Convert to fraction form
    10,535.63/14,605.74 = 9,973.83/x
  3. Step 3: Cross multiply
    10,535.63x = 14,605.74 × 9,973.83
  4. Step 4: Simplify right side
    10,535.63x = 145,675,117.92
  5. Step 5: Solve for x
    x = 145,675,117.92/10,535.63
  6. Step 6: Final answer
    x = 13,826.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.