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Finding the Fourth Proportional to 8,527.84, 12,771.12 and 7,056.16

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Solution

The fourth proportional to 8,527.84, 12,771.12 and 7,056.16 is: 10,567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.84 : 12,771.12 = 7,056.16 : x
  2. Step 2: Convert to fraction form
    8,527.84/12,771.12 = 7,056.16/x
  3. Step 3: Cross multiply
    8,527.84x = 12,771.12 × 7,056.16
  4. Step 4: Simplify right side
    8,527.84x = 90,115,066.10
  5. Step 5: Solve for x
    x = 90,115,066.10/8,527.84
  6. Step 6: Final answer
    x = 10,567.16

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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.