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Finding the Fourth Proportional to 7,753, 11,630.10 and 5,312.06

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Solution

The fourth proportional to 7,753, 11,630.10 and 5,312.06 is: 7,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753 : 11,630.10 = 5,312.06 : x
  2. Step 2: Convert to fraction form
    7,753/11,630.10 = 5,312.06/x
  3. Step 3: Cross multiply
    7,753x = 11,630.10 × 5,312.06
  4. Step 4: Simplify right side
    7,753x = 61,779,789.01
  5. Step 5: Solve for x
    x = 61,779,789.01/7,753
  6. Step 6: Final answer
    x = 7,968.50

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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.