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Finding the Fourth Proportional to 9,756.10, 13,461.08 and 5,927.66

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Solution

The fourth proportional to 9,756.10, 13,461.08 and 5,927.66 is: 8,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.10 : 13,461.08 = 5,927.66 : x
  2. Step 2: Convert to fraction form
    9,756.10/13,461.08 = 5,927.66/x
  3. Step 3: Cross multiply
    9,756.10x = 13,461.08 × 5,927.66
  4. Step 4: Simplify right side
    9,756.10x = 79,792,705.47
  5. Step 5: Solve for x
    x = 79,792,705.47/9,756.10
  6. Step 6: Final answer
    x = 8,178.75

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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.