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Finding the Fourth Proportional to 11,547.95, 15,927.75 and 8,828.63

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Solution

The fourth proportional to 11,547.95, 15,927.75 and 8,828.63 is: 12,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.95 : 15,927.75 = 8,828.63 : x
  2. Step 2: Convert to fraction form
    11,547.95/15,927.75 = 8,828.63/x
  3. Step 3: Cross multiply
    11,547.95x = 15,927.75 × 8,828.63
  4. Step 4: Simplify right side
    11,547.95x = 140,620,211.48
  5. Step 5: Solve for x
    x = 140,620,211.48/11,547.95
  6. Step 6: Final answer
    x = 12,177.07

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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.