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Finding the Fourth Proportional to 11,219, 15,482.72 and 6,502.36

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Solution

The fourth proportional to 11,219, 15,482.72 and 6,502.36 is: 8,973.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219 : 15,482.72 = 6,502.36 : x
  2. Step 2: Convert to fraction form
    11,219/15,482.72 = 6,502.36/x
  3. Step 3: Cross multiply
    11,219x = 15,482.72 × 6,502.36
  4. Step 4: Simplify right side
    11,219x = 100,674,219.22
  5. Step 5: Solve for x
    x = 100,674,219.22/11,219
  6. Step 6: Final answer
    x = 8,973.55

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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.