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Finding the Fourth Proportional to 10,724, 14,800.04 and 6,248.16

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Solution

The fourth proportional to 10,724, 14,800.04 and 6,248.16 is: 8,623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724 : 14,800.04 = 6,248.16 : x
  2. Step 2: Convert to fraction form
    10,724/14,800.04 = 6,248.16/x
  3. Step 3: Cross multiply
    10,724x = 14,800.04 × 6,248.16
  4. Step 4: Simplify right side
    10,724x = 92,473,017.93
  5. Step 5: Solve for x
    x = 92,473,017.93/10,724
  6. Step 6: Final answer
    x = 8,623.00

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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.