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Finding the Fourth Proportional to 14,312.93, 21,471.53 and 7,652.90

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Solution

The fourth proportional to 14,312.93, 21,471.53 and 7,652.90 is: 11,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.93 : 21,471.53 = 7,652.90 : x
  2. Step 2: Convert to fraction form
    14,312.93/21,471.53 = 7,652.90/x
  3. Step 3: Cross multiply
    14,312.93x = 21,471.53 × 7,652.90
  4. Step 4: Simplify right side
    14,312.93x = 164,319,487.35
  5. Step 5: Solve for x
    x = 164,319,487.35/14,312.93
  6. Step 6: Final answer
    x = 11,480.50

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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.