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Finding the Fourth Proportional to 10,547.16, 14,554.54 and 5,831.14

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Solution

The fourth proportional to 10,547.16, 14,554.54 and 5,831.14 is: 8,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.16 : 14,554.54 = 5,831.14 : x
  2. Step 2: Convert to fraction form
    10,547.16/14,554.54 = 5,831.14/x
  3. Step 3: Cross multiply
    10,547.16x = 14,554.54 × 5,831.14
  4. Step 4: Simplify right side
    10,547.16x = 84,869,560.38
  5. Step 5: Solve for x
    x = 84,869,560.38/10,547.16
  6. Step 6: Final answer
    x = 8,046.67

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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.