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Finding the Fourth Proportional to 11,364.95, 15,688.47 and 7,641.11

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Solution

The fourth proportional to 11,364.95, 15,688.47 and 7,641.11 is: 10,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.95 : 15,688.47 = 7,641.11 : x
  2. Step 2: Convert to fraction form
    11,364.95/15,688.47 = 7,641.11/x
  3. Step 3: Cross multiply
    11,364.95x = 15,688.47 × 7,641.11
  4. Step 4: Simplify right side
    11,364.95x = 119,877,246.56
  5. Step 5: Solve for x
    x = 119,877,246.56/11,364.95
  6. Step 6: Final answer
    x = 10,547.98

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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.