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Finding the Fourth Proportional to 6,854.48, 10,284.76 and 6,271.12

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Solution

The fourth proportional to 6,854.48, 10,284.76 and 6,271.12 is: 9,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.48 : 10,284.76 = 6,271.12 : x
  2. Step 2: Convert to fraction form
    6,854.48/10,284.76 = 6,271.12/x
  3. Step 3: Cross multiply
    6,854.48x = 10,284.76 × 6,271.12
  4. Step 4: Simplify right side
    6,854.48x = 64,496,964.13
  5. Step 5: Solve for x
    x = 64,496,964.13/6,854.48
  6. Step 6: Final answer
    x = 9,409.46

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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.