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Finding the Fourth Proportional to 10,616.16, 14,647.92 and 6,424.32

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Solution

The fourth proportional to 10,616.16, 14,647.92 and 6,424.32 is: 8,864.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.16 : 14,647.92 = 6,424.32 : x
  2. Step 2: Convert to fraction form
    10,616.16/14,647.92 = 6,424.32/x
  3. Step 3: Cross multiply
    10,616.16x = 14,647.92 × 6,424.32
  4. Step 4: Simplify right side
    10,616.16x = 94,102,925.41
  5. Step 5: Solve for x
    x = 94,102,925.41/10,616.16
  6. Step 6: Final answer
    x = 8,864.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.