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Finding the Fourth Proportional to 10,416.61, 14,374.86 and 9,569.38

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Solution

The fourth proportional to 10,416.61, 14,374.86 and 9,569.38 is: 13,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.61 : 14,374.86 = 9,569.38 : x
  2. Step 2: Convert to fraction form
    10,416.61/14,374.86 = 9,569.38/x
  3. Step 3: Cross multiply
    10,416.61x = 14,374.86 × 9,569.38
  4. Step 4: Simplify right side
    10,416.61x = 137,558,497.79
  5. Step 5: Solve for x
    x = 137,558,497.79/10,416.61
  6. Step 6: Final answer
    x = 13,205.69

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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.