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Finding the Fourth Proportional to 24,752, 37,130.16 and 6,284

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Solution

The fourth proportional to 24,752, 37,130.16 and 6,284 is: 9,426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,752 : 37,130.16 = 6,284 : x
  2. Step 2: Convert to fraction form
    24,752/37,130.16 = 6,284/x
  3. Step 3: Cross multiply
    24,752x = 37,130.16 × 6,284
  4. Step 4: Simplify right side
    24,752x = 233,325,925.44
  5. Step 5: Solve for x
    x = 233,325,925.44/24,752
  6. Step 6: Final answer
    x = 9,426.55

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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.