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Finding the Fourth Proportional to 9,774.84, 13,491.24 and 5,798.16

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Solution

The fourth proportional to 9,774.84, 13,491.24 and 5,798.16 is: 8,002.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.84 : 13,491.24 = 5,798.16 : x
  2. Step 2: Convert to fraction form
    9,774.84/13,491.24 = 5,798.16/x
  3. Step 3: Cross multiply
    9,774.84x = 13,491.24 × 5,798.16
  4. Step 4: Simplify right side
    9,774.84x = 78,224,368.12
  5. Step 5: Solve for x
    x = 78,224,368.12/9,774.84
  6. Step 6: Final answer
    x = 8,002.62

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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.