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Finding the Fourth Proportional to 7,587.64, 11,381.64 and 2,393.50

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Solution

The fourth proportional to 7,587.64, 11,381.64 and 2,393.50 is: 3,590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.64 : 11,381.64 = 2,393.50 : x
  2. Step 2: Convert to fraction form
    7,587.64/11,381.64 = 2,393.50/x
  3. Step 3: Cross multiply
    7,587.64x = 11,381.64 × 2,393.50
  4. Step 4: Simplify right side
    7,587.64x = 27,241,955.34
  5. Step 5: Solve for x
    x = 27,241,955.34/7,587.64
  6. Step 6: Final answer
    x = 3,590.31

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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.