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Finding the Fourth Proportional to 11,533.03, 15,916.78 and 7,059.76

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Solution

The fourth proportional to 11,533.03, 15,916.78 and 7,059.76 is: 9,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.03 : 15,916.78 = 7,059.76 : x
  2. Step 2: Convert to fraction form
    11,533.03/15,916.78 = 7,059.76/x
  3. Step 3: Cross multiply
    11,533.03x = 15,916.78 × 7,059.76
  4. Step 4: Simplify right side
    11,533.03x = 112,368,646.77
  5. Step 5: Solve for x
    x = 112,368,646.77/11,533.03
  6. Step 6: Final answer
    x = 9,743.20

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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.