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Finding the Fourth Proportional to 9,703.66, 14,554.77 and 3,462.96

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Solution

The fourth proportional to 9,703.66, 14,554.77 and 3,462.96 is: 5,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.66 : 14,554.77 = 3,462.96 : x
  2. Step 2: Convert to fraction form
    9,703.66/14,554.77 = 3,462.96/x
  3. Step 3: Cross multiply
    9,703.66x = 14,554.77 × 3,462.96
  4. Step 4: Simplify right side
    9,703.66x = 50,402,586.32
  5. Step 5: Solve for x
    x = 50,402,586.32/9,703.66
  6. Step 6: Final answer
    x = 5,194.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.