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Finding the Fourth Proportional to 13,693.92, 18,897.88 and 8,033

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Solution

The fourth proportional to 13,693.92, 18,897.88 and 8,033 is: 11,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.92 : 18,897.88 = 8,033 : x
  2. Step 2: Convert to fraction form
    13,693.92/18,897.88 = 8,033/x
  3. Step 3: Cross multiply
    13,693.92x = 18,897.88 × 8,033
  4. Step 4: Simplify right side
    13,693.92x = 151,806,670.04
  5. Step 5: Solve for x
    x = 151,806,670.04/13,693.92
  6. Step 6: Final answer
    x = 11,085.70

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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.