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Finding the Fourth Proportional to 6,870.54, 10,283.71 and 6,223.15

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Solution

The fourth proportional to 6,870.54, 10,283.71 and 6,223.15 is: 9,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.54 : 10,283.71 = 6,223.15 : x
  2. Step 2: Convert to fraction form
    6,870.54/10,283.71 = 6,223.15/x
  3. Step 3: Cross multiply
    6,870.54x = 10,283.71 × 6,223.15
  4. Step 4: Simplify right side
    6,870.54x = 63,997,021.01
  5. Step 5: Solve for x
    x = 63,997,021.01/6,870.54
  6. Step 6: Final answer
    x = 9,314.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.