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Finding the Fourth Proportional to 11,984.32, 16,538.08 and 7,510.56

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Solution

The fourth proportional to 11,984.32, 16,538.08 and 7,510.56 is: 10,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.32 : 16,538.08 = 7,510.56 : x
  2. Step 2: Convert to fraction form
    11,984.32/16,538.08 = 7,510.56/x
  3. Step 3: Cross multiply
    11,984.32x = 16,538.08 × 7,510.56
  4. Step 4: Simplify right side
    11,984.32x = 124,210,242.12
  5. Step 5: Solve for x
    x = 124,210,242.12/11,984.32
  6. Step 6: Final answer
    x = 10,364.40

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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.