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Finding the Fourth Proportional to 15,326.16, 22,970.74 and 7,926.68

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Solution

The fourth proportional to 15,326.16, 22,970.74 and 7,926.68 is: 11,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,326.16 : 22,970.74 = 7,926.68 : x
  2. Step 2: Convert to fraction form
    15,326.16/22,970.74 = 7,926.68/x
  3. Step 3: Cross multiply
    15,326.16x = 22,970.74 × 7,926.68
  4. Step 4: Simplify right side
    15,326.16x = 182,081,705.34
  5. Step 5: Solve for x
    x = 182,081,705.34/15,326.16
  6. Step 6: Final answer
    x = 11,880.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.