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Finding the Fourth Proportional to 9,752.84, 13,459.38 and 5,561

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Solution

The fourth proportional to 9,752.84, 13,459.38 and 5,561 is: 7,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.84 : 13,459.38 = 5,561 : x
  2. Step 2: Convert to fraction form
    9,752.84/13,459.38 = 5,561/x
  3. Step 3: Cross multiply
    9,752.84x = 13,459.38 × 5,561
  4. Step 4: Simplify right side
    9,752.84x = 74,847,612.18
  5. Step 5: Solve for x
    x = 74,847,612.18/9,752.84
  6. Step 6: Final answer
    x = 7,674.44

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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.