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Finding the Fourth Proportional to 9,253.64, 12,769.80 and 5,061.80

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Solution

The fourth proportional to 9,253.64, 12,769.80 and 5,061.80 is: 6,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.64 : 12,769.80 = 5,061.80 : x
  2. Step 2: Convert to fraction form
    9,253.64/12,769.80 = 5,061.80/x
  3. Step 3: Cross multiply
    9,253.64x = 12,769.80 × 5,061.80
  4. Step 4: Simplify right side
    9,253.64x = 64,638,173.64
  5. Step 5: Solve for x
    x = 64,638,173.64/9,253.64
  6. Step 6: Final answer
    x = 6,985.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.