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Finding the Fourth Proportional to 15,304.32, 22,961.45 and 7,507.67

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Solution

The fourth proportional to 15,304.32, 22,961.45 and 7,507.67 is: 11,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,304.32 : 22,961.45 = 7,507.67 : x
  2. Step 2: Convert to fraction form
    15,304.32/22,961.45 = 7,507.67/x
  3. Step 3: Cross multiply
    15,304.32x = 22,961.45 × 7,507.67
  4. Step 4: Simplify right side
    15,304.32x = 172,386,941.85
  5. Step 5: Solve for x
    x = 172,386,941.85/15,304.32
  6. Step 6: Final answer
    x = 11,263.94

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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.