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Finding the Fourth Proportional to 7,136.40, 9,848.56 and 4,411.56

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Solution

The fourth proportional to 7,136.40, 9,848.56 and 4,411.56 is: 6,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.40 : 9,848.56 = 4,411.56 : x
  2. Step 2: Convert to fraction form
    7,136.40/9,848.56 = 4,411.56/x
  3. Step 3: Cross multiply
    7,136.40x = 9,848.56 × 4,411.56
  4. Step 4: Simplify right side
    7,136.40x = 43,447,513.35
  5. Step 5: Solve for x
    x = 43,447,513.35/7,136.40
  6. Step 6: Final answer
    x = 6,088.16

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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.