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Finding the Fourth Proportional to 8,590.84, 11,862.06 and 6,598.24

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Solution

The fourth proportional to 8,590.84, 11,862.06 and 6,598.24 is: 9,110.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.84 : 11,862.06 = 6,598.24 : x
  2. Step 2: Convert to fraction form
    8,590.84/11,862.06 = 6,598.24/x
  3. Step 3: Cross multiply
    8,590.84x = 11,862.06 × 6,598.24
  4. Step 4: Simplify right side
    8,590.84x = 78,268,718.77
  5. Step 5: Solve for x
    x = 78,268,718.77/8,590.84
  6. Step 6: Final answer
    x = 9,110.72

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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.