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Finding the Fourth Proportional to 6,586.64, 9,094.80 and 4,072.40

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Solution

The fourth proportional to 6,586.64, 9,094.80 and 4,072.40 is: 5,623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.64 : 9,094.80 = 4,072.40 : x
  2. Step 2: Convert to fraction form
    6,586.64/9,094.80 = 4,072.40/x
  3. Step 3: Cross multiply
    6,586.64x = 9,094.80 × 4,072.40
  4. Step 4: Simplify right side
    6,586.64x = 37,037,663.52
  5. Step 5: Solve for x
    x = 37,037,663.52/6,586.64
  6. Step 6: Final answer
    x = 5,623.15

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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.