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Finding the Fourth Proportional to 15,300.53, 22,954.35 and 4,770

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Solution

The fourth proportional to 15,300.53, 22,954.35 and 4,770 is: 7,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,300.53 : 22,954.35 = 4,770 : x
  2. Step 2: Convert to fraction form
    15,300.53/22,954.35 = 4,770/x
  3. Step 3: Cross multiply
    15,300.53x = 22,954.35 × 4,770
  4. Step 4: Simplify right side
    15,300.53x = 109,492,249.50
  5. Step 5: Solve for x
    x = 109,492,249.50/15,300.53
  6. Step 6: Final answer
    x = 7,156.11

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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.