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Finding the Fourth Proportional to 11,553, 15,946.02 and 6,587.88

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Solution

The fourth proportional to 11,553, 15,946.02 and 6,587.88 is: 9,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553 : 15,946.02 = 6,587.88 : x
  2. Step 2: Convert to fraction form
    11,553/15,946.02 = 6,587.88/x
  3. Step 3: Cross multiply
    11,553x = 15,946.02 × 6,587.88
  4. Step 4: Simplify right side
    11,553x = 105,050,466.24
  5. Step 5: Solve for x
    x = 105,050,466.24/11,553
  6. Step 6: Final answer
    x = 9,092.92

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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.