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Finding the Fourth Proportional to 9,652.56, 14,478.72 and 6,482.76

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Solution

The fourth proportional to 9,652.56, 14,478.72 and 6,482.76 is: 9,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.56 : 14,478.72 = 6,482.76 : x
  2. Step 2: Convert to fraction form
    9,652.56/14,478.72 = 6,482.76/x
  3. Step 3: Cross multiply
    9,652.56x = 14,478.72 × 6,482.76
  4. Step 4: Simplify right side
    9,652.56x = 93,862,066.87
  5. Step 5: Solve for x
    x = 93,862,066.87/9,652.56
  6. Step 6: Final answer
    x = 9,724.06

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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.