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Finding the Fourth Proportional to 6,827.40, 9,416.97 and 6,598.77

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Solution

The fourth proportional to 6,827.40, 9,416.97 and 6,598.77 is: 9,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.40 : 9,416.97 = 6,598.77 : x
  2. Step 2: Convert to fraction form
    6,827.40/9,416.97 = 6,598.77/x
  3. Step 3: Cross multiply
    6,827.40x = 9,416.97 × 6,598.77
  4. Step 4: Simplify right side
    6,827.40x = 62,140,419.13
  5. Step 5: Solve for x
    x = 62,140,419.13/6,827.40
  6. Step 6: Final answer
    x = 9,101.62

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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.