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Finding the Fourth Proportional to 11,597.42, 16,004.43 and 6,561.53

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Solution

The fourth proportional to 11,597.42, 16,004.43 and 6,561.53 is: 9,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.42 : 16,004.43 = 6,561.53 : x
  2. Step 2: Convert to fraction form
    11,597.42/16,004.43 = 6,561.53/x
  3. Step 3: Cross multiply
    11,597.42x = 16,004.43 × 6,561.53
  4. Step 4: Simplify right side
    11,597.42x = 105,013,587.59
  5. Step 5: Solve for x
    x = 105,013,587.59/11,597.42
  6. Step 6: Final answer
    x = 9,054.91

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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.