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Finding the Fourth Proportional to 7,295.84, 10,069 and 4,312.64

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Solution

The fourth proportional to 7,295.84, 10,069 and 4,312.64 is: 5,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.84 : 10,069 = 4,312.64 : x
  2. Step 2: Convert to fraction form
    7,295.84/10,069 = 4,312.64/x
  3. Step 3: Cross multiply
    7,295.84x = 10,069 × 4,312.64
  4. Step 4: Simplify right side
    7,295.84x = 43,423,972.16
  5. Step 5: Solve for x
    x = 43,423,972.16/7,295.84
  6. Step 6: Final answer
    x = 5,951.88

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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.