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Finding the Fourth Proportional to 9,813.84, 13,542.99 and 7,307.16

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Solution

The fourth proportional to 9,813.84, 13,542.99 and 7,307.16 is: 10,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.84 : 13,542.99 = 7,307.16 : x
  2. Step 2: Convert to fraction form
    9,813.84/13,542.99 = 7,307.16/x
  3. Step 3: Cross multiply
    9,813.84x = 13,542.99 × 7,307.16
  4. Step 4: Simplify right side
    9,813.84x = 98,960,794.81
  5. Step 5: Solve for x
    x = 98,960,794.81/9,813.84
  6. Step 6: Final answer
    x = 10,083.80

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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.