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Finding the Fourth Proportional to 8,533.84, 12,780.12 and 7,062.16

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Solution

The fourth proportional to 8,533.84, 12,780.12 and 7,062.16 is: 10,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.84 : 12,780.12 = 7,062.16 : x
  2. Step 2: Convert to fraction form
    8,533.84/12,780.12 = 7,062.16/x
  3. Step 3: Cross multiply
    8,533.84x = 12,780.12 × 7,062.16
  4. Step 4: Simplify right side
    8,533.84x = 90,255,252.26
  5. Step 5: Solve for x
    x = 90,255,252.26/8,533.84
  6. Step 6: Final answer
    x = 10,576.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.