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Finding the Fourth Proportional to 9,638.70, 14,458.05 and 6,528.30

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Solution

The fourth proportional to 9,638.70, 14,458.05 and 6,528.30 is: 9,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.70 : 14,458.05 = 6,528.30 : x
  2. Step 2: Convert to fraction form
    9,638.70/14,458.05 = 6,528.30/x
  3. Step 3: Cross multiply
    9,638.70x = 14,458.05 × 6,528.30
  4. Step 4: Simplify right side
    9,638.70x = 94,386,487.82
  5. Step 5: Solve for x
    x = 94,386,487.82/9,638.70
  6. Step 6: Final answer
    x = 9,792.45

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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.