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Finding the Fourth Proportional to 7,106.55, 9,963.75 and 7,106.55

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Solution

The fourth proportional to 7,106.55, 9,963.75 and 7,106.55 is: 9,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.55 : 9,963.75 = 7,106.55 : x
  2. Step 2: Convert to fraction form
    7,106.55/9,963.75 = 7,106.55/x
  3. Step 3: Cross multiply
    7,106.55x = 9,963.75 × 7,106.55
  4. Step 4: Simplify right side
    7,106.55x = 70,807,887.56
  5. Step 5: Solve for x
    x = 70,807,887.56/7,106.55
  6. Step 6: Final answer
    x = 9,963.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.