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Finding the Fourth Proportional to 8,089.66, 11,164.19 and 4,553

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Solution

The fourth proportional to 8,089.66, 11,164.19 and 4,553 is: 6,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.66 : 11,164.19 = 4,553 : x
  2. Step 2: Convert to fraction form
    8,089.66/11,164.19 = 4,553/x
  3. Step 3: Cross multiply
    8,089.66x = 11,164.19 × 4,553
  4. Step 4: Simplify right side
    8,089.66x = 50,830,557.07
  5. Step 5: Solve for x
    x = 50,830,557.07/8,089.66
  6. Step 6: Final answer
    x = 6,283.40

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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.