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Finding the Fourth Proportional to 11,641.58, 16,088.20 and 10,345.58

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Solution

The fourth proportional to 11,641.58, 16,088.20 and 10,345.58 is: 14,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.58 : 16,088.20 = 10,345.58 : x
  2. Step 2: Convert to fraction form
    11,641.58/16,088.20 = 10,345.58/x
  3. Step 3: Cross multiply
    11,641.58x = 16,088.20 × 10,345.58
  4. Step 4: Simplify right side
    11,641.58x = 166,441,760.16
  5. Step 5: Solve for x
    x = 166,441,760.16/11,641.58
  6. Step 6: Final answer
    x = 14,297.18

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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.