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Finding the Fourth Proportional to 10,547.67, 14,555.16 and 5,831.67

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Solution

The fourth proportional to 10,547.67, 14,555.16 and 5,831.67 is: 8,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.67 : 14,555.16 = 5,831.67 : x
  2. Step 2: Convert to fraction form
    10,547.67/14,555.16 = 5,831.67/x
  3. Step 3: Cross multiply
    10,547.67x = 14,555.16 × 5,831.67
  4. Step 4: Simplify right side
    10,547.67x = 84,880,889.92
  5. Step 5: Solve for x
    x = 84,880,889.92/10,547.67
  6. Step 6: Final answer
    x = 8,047.36

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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.