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Finding the Fourth Proportional to 6,458.70, 9,681.96 and 4,875

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Solution

The fourth proportional to 6,458.70, 9,681.96 and 4,875 is: 7,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.70 : 9,681.96 = 4,875 : x
  2. Step 2: Convert to fraction form
    6,458.70/9,681.96 = 4,875/x
  3. Step 3: Cross multiply
    6,458.70x = 9,681.96 × 4,875
  4. Step 4: Simplify right side
    6,458.70x = 47,199,555.00
  5. Step 5: Solve for x
    x = 47,199,555.00/6,458.70
  6. Step 6: Final answer
    x = 7,307.90

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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.