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Finding the Fourth Proportional to 6,897.16, 10,403.17 and 6,085.72

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Solution

The fourth proportional to 6,897.16, 10,403.17 and 6,085.72 is: 9,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.16 : 10,403.17 = 6,085.72 : x
  2. Step 2: Convert to fraction form
    6,897.16/10,403.17 = 6,085.72/x
  3. Step 3: Cross multiply
    6,897.16x = 10,403.17 × 6,085.72
  4. Step 4: Simplify right side
    6,897.16x = 63,310,779.73
  5. Step 5: Solve for x
    x = 63,310,779.73/6,897.16
  6. Step 6: Final answer
    x = 9,179.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.