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Finding the Fourth Proportional to 6,913.42, 9,544.76 and 4,264.45

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Solution

The fourth proportional to 6,913.42, 9,544.76 and 4,264.45 is: 5,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.42 : 9,544.76 = 4,264.45 : x
  2. Step 2: Convert to fraction form
    6,913.42/9,544.76 = 4,264.45/x
  3. Step 3: Cross multiply
    6,913.42x = 9,544.76 × 4,264.45
  4. Step 4: Simplify right side
    6,913.42x = 40,703,130.46
  5. Step 5: Solve for x
    x = 40,703,130.46/6,913.42
  6. Step 6: Final answer
    x = 5,887.55

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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.