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Finding the Fourth Proportional to 6,534.31, 9,752.09 and 5,903.75

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Solution

The fourth proportional to 6,534.31, 9,752.09 and 5,903.75 is: 8,811.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.31 : 9,752.09 = 5,903.75 : x
  2. Step 2: Convert to fraction form
    6,534.31/9,752.09 = 5,903.75/x
  3. Step 3: Cross multiply
    6,534.31x = 9,752.09 × 5,903.75
  4. Step 4: Simplify right side
    6,534.31x = 57,573,823.06
  5. Step 5: Solve for x
    x = 57,573,823.06/6,534.31
  6. Step 6: Final answer
    x = 8,811.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.