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Finding the Fourth Proportional to 11,701.64, 17,461.90 and 10,455.50

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Solution

The fourth proportional to 11,701.64, 17,461.90 and 10,455.50 is: 15,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.64 : 17,461.90 = 10,455.50 : x
  2. Step 2: Convert to fraction form
    11,701.64/17,461.90 = 10,455.50/x
  3. Step 3: Cross multiply
    11,701.64x = 17,461.90 × 10,455.50
  4. Step 4: Simplify right side
    11,701.64x = 182,572,895.45
  5. Step 5: Solve for x
    x = 182,572,895.45/11,701.64
  6. Step 6: Final answer
    x = 15,602.33

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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.