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Finding the Fourth Proportional to 10,008.84, 14,976.06 and 6,293.70

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Solution

The fourth proportional to 10,008.84, 14,976.06 and 6,293.70 is: 9,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.84 : 14,976.06 = 6,293.70 : x
  2. Step 2: Convert to fraction form
    10,008.84/14,976.06 = 6,293.70/x
  3. Step 3: Cross multiply
    10,008.84x = 14,976.06 × 6,293.70
  4. Step 4: Simplify right side
    10,008.84x = 94,254,828.82
  5. Step 5: Solve for x
    x = 94,254,828.82/10,008.84
  6. Step 6: Final answer
    x = 9,417.16

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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.