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Finding the Fourth Proportional to 11,193.54, 15,446.88 and 7,656.63

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Solution

The fourth proportional to 11,193.54, 15,446.88 and 7,656.63 is: 10,566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.54 : 15,446.88 = 7,656.63 : x
  2. Step 2: Convert to fraction form
    11,193.54/15,446.88 = 7,656.63/x
  3. Step 3: Cross multiply
    11,193.54x = 15,446.88 × 7,656.63
  4. Step 4: Simplify right side
    11,193.54x = 118,271,044.81
  5. Step 5: Solve for x
    x = 118,271,044.81/11,193.54
  6. Step 6: Final answer
    x = 10,566.01

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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.