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Finding the Fourth Proportional to 9,812.81, 13,547.86 and 7,570.53

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Solution

The fourth proportional to 9,812.81, 13,547.86 and 7,570.53 is: 10,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.81 : 13,547.86 = 7,570.53 : x
  2. Step 2: Convert to fraction form
    9,812.81/13,547.86 = 7,570.53/x
  3. Step 3: Cross multiply
    9,812.81x = 13,547.86 × 7,570.53
  4. Step 4: Simplify right side
    9,812.81x = 102,564,461.64
  5. Step 5: Solve for x
    x = 102,564,461.64/9,812.81
  6. Step 6: Final answer
    x = 10,452.10

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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.