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Finding the Fourth Proportional to 9,652.64, 14,478.12 and 4,970

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Solution

The fourth proportional to 9,652.64, 14,478.12 and 4,970 is: 7,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.64 : 14,478.12 = 4,970 : x
  2. Step 2: Convert to fraction form
    9,652.64/14,478.12 = 4,970/x
  3. Step 3: Cross multiply
    9,652.64x = 14,478.12 × 4,970
  4. Step 4: Simplify right side
    9,652.64x = 71,956,256.40
  5. Step 5: Solve for x
    x = 71,956,256.40/9,652.64
  6. Step 6: Final answer
    x = 7,454.57

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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.