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Finding the Fourth Proportional to 9,656.80, 13,330.47 and 6,302.49

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Solution

The fourth proportional to 9,656.80, 13,330.47 and 6,302.49 is: 8,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.80 : 13,330.47 = 6,302.49 : x
  2. Step 2: Convert to fraction form
    9,656.80/13,330.47 = 6,302.49/x
  3. Step 3: Cross multiply
    9,656.80x = 13,330.47 × 6,302.49
  4. Step 4: Simplify right side
    9,656.80x = 84,015,153.87
  5. Step 5: Solve for x
    x = 84,015,153.87/9,656.80
  6. Step 6: Final answer
    x = 8,700.10

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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.