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Finding the Fourth Proportional to 10,613.84, 14,646.08 and 5,897.84

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Solution

The fourth proportional to 10,613.84, 14,646.08 and 5,897.84 is: 8,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.84 : 14,646.08 = 5,897.84 : x
  2. Step 2: Convert to fraction form
    10,613.84/14,646.08 = 5,897.84/x
  3. Step 3: Cross multiply
    10,613.84x = 14,646.08 × 5,897.84
  4. Step 4: Simplify right side
    10,613.84x = 86,380,236.47
  5. Step 5: Solve for x
    x = 86,380,236.47/10,613.84
  6. Step 6: Final answer
    x = 8,138.45

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Half scale
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Double scale
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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.