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Finding the Fourth Proportional to 8,916.57, 12,296.75 and 7,657.23

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Solution

The fourth proportional to 8,916.57, 12,296.75 and 7,657.23 is: 10,560.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,916.57 : 12,296.75 = 7,657.23 : x
  2. Step 2: Convert to fraction form
    8,916.57/12,296.75 = 7,657.23/x
  3. Step 3: Cross multiply
    8,916.57x = 12,296.75 × 7,657.23
  4. Step 4: Simplify right side
    8,916.57x = 94,159,004.72
  5. Step 5: Solve for x
    x = 94,159,004.72/8,916.57
  6. Step 6: Final answer
    x = 10,560.00

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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.