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Finding the Fourth Proportional to 9,312.06, 12,853.86 and 5,586.06

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Solution

The fourth proportional to 9,312.06, 12,853.86 and 5,586.06 is: 7,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.06 : 12,853.86 = 5,586.06 : x
  2. Step 2: Convert to fraction form
    9,312.06/12,853.86 = 5,586.06/x
  3. Step 3: Cross multiply
    9,312.06x = 12,853.86 × 5,586.06
  4. Step 4: Simplify right side
    9,312.06x = 71,802,433.19
  5. Step 5: Solve for x
    x = 71,802,433.19/9,312.06
  6. Step 6: Final answer
    x = 7,710.69

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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.