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Finding the Fourth Proportional to 10,653.75, 14,703.93 and 6,464.43

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Solution

The fourth proportional to 10,653.75, 14,703.93 and 6,464.43 is: 8,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.75 : 14,703.93 = 6,464.43 : x
  2. Step 2: Convert to fraction form
    10,653.75/14,703.93 = 6,464.43/x
  3. Step 3: Cross multiply
    10,653.75x = 14,703.93 × 6,464.43
  4. Step 4: Simplify right side
    10,653.75x = 95,052,526.21
  5. Step 5: Solve for x
    x = 95,052,526.21/10,653.75
  6. Step 6: Final answer
    x = 8,921.98

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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.