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Finding the Fourth Proportional to 4,646.35, 6,970.10 and 1,526.70

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Solution

The fourth proportional to 4,646.35, 6,970.10 and 1,526.70 is: 2,290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.35 : 6,970.10 = 1,526.70 : x
  2. Step 2: Convert to fraction form
    4,646.35/6,970.10 = 1,526.70/x
  3. Step 3: Cross multiply
    4,646.35x = 6,970.10 × 1,526.70
  4. Step 4: Simplify right side
    4,646.35x = 10,641,251.67
  5. Step 5: Solve for x
    x = 10,641,251.67/4,646.35
  6. Step 6: Final answer
    x = 2,290.24

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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.