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Finding the Fourth Proportional to 6,970.32, 10,459.06 and 4,631.93

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Solution

The fourth proportional to 6,970.32, 10,459.06 and 4,631.93 is: 6,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.32 : 10,459.06 = 4,631.93 : x
  2. Step 2: Convert to fraction form
    6,970.32/10,459.06 = 4,631.93/x
  3. Step 3: Cross multiply
    6,970.32x = 10,459.06 × 4,631.93
  4. Step 4: Simplify right side
    6,970.32x = 48,445,609.13
  5. Step 5: Solve for x
    x = 48,445,609.13/6,970.32
  6. Step 6: Final answer
    x = 6,950.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.