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Finding the Fourth Proportional to 14,119.08, 19,484.54 and 7,746.28

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Solution

The fourth proportional to 14,119.08, 19,484.54 and 7,746.28 is: 10,689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119.08 : 19,484.54 = 7,746.28 : x
  2. Step 2: Convert to fraction form
    14,119.08/19,484.54 = 7,746.28/x
  3. Step 3: Cross multiply
    14,119.08x = 19,484.54 × 7,746.28
  4. Step 4: Simplify right side
    14,119.08x = 150,932,702.51
  5. Step 5: Solve for x
    x = 150,932,702.51/14,119.08
  6. Step 6: Final answer
    x = 10,689.98

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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.