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Finding the Fourth Proportional to 7,756.74, 10,698.59 and 4,771.49

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Solution

The fourth proportional to 7,756.74, 10,698.59 and 4,771.49 is: 6,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.74 : 10,698.59 = 4,771.49 : x
  2. Step 2: Convert to fraction form
    7,756.74/10,698.59 = 4,771.49/x
  3. Step 3: Cross multiply
    7,756.74x = 10,698.59 × 4,771.49
  4. Step 4: Simplify right side
    7,756.74x = 51,048,173.63
  5. Step 5: Solve for x
    x = 51,048,173.63/7,756.74
  6. Step 6: Final answer
    x = 6,581.14

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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.