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Finding the Fourth Proportional to 6,527.76, 8,988.48 and 5,784.72

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Solution

The fourth proportional to 6,527.76, 8,988.48 and 5,784.72 is: 7,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.76 : 8,988.48 = 5,784.72 : x
  2. Step 2: Convert to fraction form
    6,527.76/8,988.48 = 5,784.72/x
  3. Step 3: Cross multiply
    6,527.76x = 8,988.48 × 5,784.72
  4. Step 4: Simplify right side
    6,527.76x = 51,995,840.03
  5. Step 5: Solve for x
    x = 51,995,840.03/6,527.76
  6. Step 6: Final answer
    x = 7,965.34

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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.