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Finding the Fourth Proportional to 9,774.84, 13,489.22 and 5,298.59

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Solution

The fourth proportional to 9,774.84, 13,489.22 and 5,298.59 is: 7,312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.84 : 13,489.22 = 5,298.59 : x
  2. Step 2: Convert to fraction form
    9,774.84/13,489.22 = 5,298.59/x
  3. Step 3: Cross multiply
    9,774.84x = 13,489.22 × 5,298.59
  4. Step 4: Simplify right side
    9,774.84x = 71,473,752.26
  5. Step 5: Solve for x
    x = 71,473,752.26/9,774.84
  6. Step 6: Final answer
    x = 7,312.01

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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.