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Finding the Fourth Proportional to 6,875.91, 9,496.49 and 4,646.99

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Solution

The fourth proportional to 6,875.91, 9,496.49 and 4,646.99 is: 6,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.91 : 9,496.49 = 4,646.99 : x
  2. Step 2: Convert to fraction form
    6,875.91/9,496.49 = 4,646.99/x
  3. Step 3: Cross multiply
    6,875.91x = 9,496.49 × 4,646.99
  4. Step 4: Simplify right side
    6,875.91x = 44,130,023.35
  5. Step 5: Solve for x
    x = 44,130,023.35/6,875.91
  6. Step 6: Final answer
    x = 6,418.06

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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.