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Finding the Fourth Proportional to 10,616.45, 14,653.76 and 8,506.70

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Solution

The fourth proportional to 10,616.45, 14,653.76 and 8,506.70 is: 11,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.45 : 14,653.76 = 8,506.70 : x
  2. Step 2: Convert to fraction form
    10,616.45/14,653.76 = 8,506.70/x
  3. Step 3: Cross multiply
    10,616.45x = 14,653.76 × 8,506.70
  4. Step 4: Simplify right side
    10,616.45x = 124,655,079.34
  5. Step 5: Solve for x
    x = 124,655,079.34/10,616.45
  6. Step 6: Final answer
    x = 11,741.70

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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.