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Finding the Fourth Proportional to 6,886.06, 9,491.86 and 6,314.00

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Solution

The fourth proportional to 6,886.06, 9,491.86 and 6,314.00 is: 8,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.06 : 9,491.86 = 6,314.00 : x
  2. Step 2: Convert to fraction form
    6,886.06/9,491.86 = 6,314.00/x
  3. Step 3: Cross multiply
    6,886.06x = 9,491.86 × 6,314.00
  4. Step 4: Simplify right side
    6,886.06x = 59,931,564.53
  5. Step 5: Solve for x
    x = 59,931,564.53/6,886.06
  6. Step 6: Final answer
    x = 8,703.32

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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.