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Finding the Fourth Proportional to 10,953.58, 16,437.66 and 9,029.02

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Solution

The fourth proportional to 10,953.58, 16,437.66 and 9,029.02 is: 13,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.58 : 16,437.66 = 9,029.02 : x
  2. Step 2: Convert to fraction form
    10,953.58/16,437.66 = 9,029.02/x
  3. Step 3: Cross multiply
    10,953.58x = 16,437.66 × 9,029.02
  4. Step 4: Simplify right side
    10,953.58x = 148,415,960.89
  5. Step 5: Solve for x
    x = 148,415,960.89/10,953.58
  6. Step 6: Final answer
    x = 13,549.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.