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Finding the Fourth Proportional to 6,875.28, 9,484.92 and 4,576.32

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Solution

The fourth proportional to 6,875.28, 9,484.92 and 4,576.32 is: 6,313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.28 : 9,484.92 = 4,576.32 : x
  2. Step 2: Convert to fraction form
    6,875.28/9,484.92 = 4,576.32/x
  3. Step 3: Cross multiply
    6,875.28x = 9,484.92 × 4,576.32
  4. Step 4: Simplify right side
    6,875.28x = 43,406,029.09
  5. Step 5: Solve for x
    x = 43,406,029.09/6,875.28
  6. Step 6: Final answer
    x = 6,313.35

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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.