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Finding the Fourth Proportional to 9,712.40, 14,552.40 and 8,319.20

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Solution

The fourth proportional to 9,712.40, 14,552.40 and 8,319.20 is: 12,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.40 : 14,552.40 = 8,319.20 : x
  2. Step 2: Convert to fraction form
    9,712.40/14,552.40 = 8,319.20/x
  3. Step 3: Cross multiply
    9,712.40x = 14,552.40 × 8,319.20
  4. Step 4: Simplify right side
    9,712.40x = 121,064,326.08
  5. Step 5: Solve for x
    x = 121,064,326.08/9,712.40
  6. Step 6: Final answer
    x = 12,464.92

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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.