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Finding the Fourth Proportional to 11,117.76, 16,598.64 and 9,173.76

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Solution

The fourth proportional to 11,117.76, 16,598.64 and 9,173.76 is: 13,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117.76 : 16,598.64 = 9,173.76 : x
  2. Step 2: Convert to fraction form
    11,117.76/16,598.64 = 9,173.76/x
  3. Step 3: Cross multiply
    11,117.76x = 16,598.64 × 9,173.76
  4. Step 4: Simplify right side
    11,117.76x = 152,271,939.69
  5. Step 5: Solve for x
    x = 152,271,939.69/11,117.76
  6. Step 6: Final answer
    x = 13,696.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.