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Finding the Fourth Proportional to 9,875, 14,820.34 and 5,197.74

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Solution

The fourth proportional to 9,875, 14,820.34 and 5,197.74 is: 7,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875 : 14,820.34 = 5,197.74 : x
  2. Step 2: Convert to fraction form
    9,875/14,820.34 = 5,197.74/x
  3. Step 3: Cross multiply
    9,875x = 14,820.34 × 5,197.74
  4. Step 4: Simplify right side
    9,875x = 77,032,274.03
  5. Step 5: Solve for x
    x = 77,032,274.03/9,875
  6. Step 6: Final answer
    x = 7,800.74

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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.