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Finding the Fourth Proportional to 9,655.70, 13,315.74 and 6,301.08

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Solution

The fourth proportional to 9,655.70, 13,315.74 and 6,301.08 is: 8,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.70 : 13,315.74 = 6,301.08 : x
  2. Step 2: Convert to fraction form
    9,655.70/13,315.74 = 6,301.08/x
  3. Step 3: Cross multiply
    9,655.70x = 13,315.74 × 6,301.08
  4. Step 4: Simplify right side
    9,655.70x = 83,903,543.00
  5. Step 5: Solve for x
    x = 83,903,543.00/9,655.70
  6. Step 6: Final answer
    x = 8,689.54

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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.