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Finding the Fourth Proportional to 10,497.79, 14,486.88 and 7,821.01

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Solution

The fourth proportional to 10,497.79, 14,486.88 and 7,821.01 is: 10,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.79 : 14,486.88 = 7,821.01 : x
  2. Step 2: Convert to fraction form
    10,497.79/14,486.88 = 7,821.01/x
  3. Step 3: Cross multiply
    10,497.79x = 14,486.88 × 7,821.01
  4. Step 4: Simplify right side
    10,497.79x = 113,302,033.35
  5. Step 5: Solve for x
    x = 113,302,033.35/10,497.79
  6. Step 6: Final answer
    x = 10,792.94

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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.