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Finding the Fourth Proportional to 8,287.47, 11,436.17 and 4,702.01

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Solution

The fourth proportional to 8,287.47, 11,436.17 and 4,702.01 is: 6,488.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.47 : 11,436.17 = 4,702.01 : x
  2. Step 2: Convert to fraction form
    8,287.47/11,436.17 = 4,702.01/x
  3. Step 3: Cross multiply
    8,287.47x = 11,436.17 × 4,702.01
  4. Step 4: Simplify right side
    8,287.47x = 53,772,905.01
  5. Step 5: Solve for x
    x = 53,772,905.01/8,287.47
  6. Step 6: Final answer
    x = 6,488.46

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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.