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Finding the Fourth Proportional to 8,916.76, 12,303.43 and 5,730.63

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Solution

The fourth proportional to 8,916.76, 12,303.43 and 5,730.63 is: 7,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,916.76 : 12,303.43 = 5,730.63 : x
  2. Step 2: Convert to fraction form
    8,916.76/12,303.43 = 5,730.63/x
  3. Step 3: Cross multiply
    8,916.76x = 12,303.43 × 5,730.63
  4. Step 4: Simplify right side
    8,916.76x = 70,506,405.06
  5. Step 5: Solve for x
    x = 70,506,405.06/8,916.76
  6. Step 6: Final answer
    x = 7,907.18

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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.