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Finding the Fourth Proportional to 9,897.62, 13,646.13 and 7,068.38

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Solution

The fourth proportional to 9,897.62, 13,646.13 and 7,068.38 is: 9,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.62 : 13,646.13 = 7,068.38 : x
  2. Step 2: Convert to fraction form
    9,897.62/13,646.13 = 7,068.38/x
  3. Step 3: Cross multiply
    9,897.62x = 13,646.13 × 7,068.38
  4. Step 4: Simplify right side
    9,897.62x = 96,456,032.37
  5. Step 5: Solve for x
    x = 96,456,032.37/9,897.62
  6. Step 6: Final answer
    x = 9,745.38

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Half scale
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Double scale
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Similar ratio
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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.