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Finding the Fourth Proportional to 4,713.66, 6,509.23 and 3,038.99

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Solution

The fourth proportional to 4,713.66, 6,509.23 and 3,038.99 is: 4,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.66 : 6,509.23 = 3,038.99 : x
  2. Step 2: Convert to fraction form
    4,713.66/6,509.23 = 3,038.99/x
  3. Step 3: Cross multiply
    4,713.66x = 6,509.23 × 3,038.99
  4. Step 4: Simplify right side
    4,713.66x = 19,781,444.73
  5. Step 5: Solve for x
    x = 19,781,444.73/4,713.66
  6. Step 6: Final answer
    x = 4,196.62

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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.